Pythagorean Theorem - Math Worksheets 4 Kids
Name :Score :Level 1: S1Pythagorean TheoremSolve the word problems. Round the answer to the nearest tenth.1)Mark is on his way home from work. He drives 35 miles due North and then 42 miles dueWest. Find the shortest distance he can cover to reach home early.N35 mi42 mi?WES2)Joshua won a laptop in a school raffle. The laptop screen measures 10 inches in height and24 inches in width. Find the diagonal length of the laptop screen.10 in24 in?Joey made a sandwich that was 4 inches long and 6 inches high. If he cuts the sandwichin half as shown in the figure, what would be the diagonal length of the sandwich?6 in?3)4 inA 15 feet tree casts a shadow that is 8 feet long. What is the distance from the tip ofthe tree to the tip of its shadow?15 ft4)?8 ftRachel bought a rug for her apartment. The rug is 11 feet long and 9 feet wide. Find thediagonal length of the rug.?11 ftPrintable Math Worksheets @ www.mathworksheets4kids.com9 ft5)
Name :Answer KeyScore :Level 1: S1Pythagorean TheoremSolve the word problems. Round the answer to the nearest tenth.1)Mark is on his way home from work. He drives 35 miles due North and then 42 miles dueWest. Find the shortest distance he can cover to reach home early.N35 mi42 mi?54.7 miWES2)Joshua won a laptop in a school raffle. The laptop screen measures 10 inches in height and24 inches in width. Find the diagonal length of the laptop screen.10 in24 in?26 inJoey made a sandwich that was 4 inches long and 6 inches high. If he cuts the sandwichin half as shown in the figure, what would be the diagonal length of the sandwich?7.2 in4 inA 15 feet tree casts a shadow that is 8 feet long. What is the distance from the tip ofthe tree to the tip of its shadow?15 ft4)6 in?3)?17 ft8 ftRachel bought a rug for her apartment. The rug is 11 feet long and 9 feet wide. Find thediagonal length of the rug.?14.2 ftPrintable Math Worksheets @ www.mathworksheets4kids.com11 ft9 ft5)
Name :Score :Level 1: S2Pythagorean TheoremSolve the word problems. Round the answer to the nearest tenth.1)There are two buildings beside each other that are 47 feet and 31 feet high. The buildingsare 12 feet apart. What is the distance between the rooftops of the buildings?31 ft47 ft?12 ft2)Mr. Richard owns an orchard that has a rectangular fence. The orchard is 35 feet longand 18 feet wide. If he walks across the diagonal length of the orchard, how muchdistance would he cover?1835ftftCarol pitches a tent at a Girl Scout camp. She ties a rope from the tip of the pole to the pegnailed into the ground, as shown. The pole is 8 feet high and the distance between the baseof the pole and the peg is 7 feet. Determine the length of the rope.?8 ft3)7 ft4)Ross and Monica are playing on a seesaw. Monica’s seat is grounded. The height of thefulcrum is 2 feet. The distance from grounded end of the seesaw to the fulcrum is 4 feet.What is the length of the seesaw?2 ft?4 ftThe roof rafter of a house has been raised to a height of 13 yards at the ridge. Half thelength of the run measures 9 yards. Find the length of the rafter?9 ydPrintable Math Worksheets @ www.mathworksheets4kids.com13 yd5)
Name :Answer KeyScore :Level 1: S2Pythagorean TheoremSolve the word problems. Round the answer to the nearest tenth.1)There are two buildings beside each other that are 47 feet and 31 feet high. The buildingsare 12 feet apart. What is the distance between the rooftops of the buildings?31 ft47 ft?20 ft12 ft2)Mr. Richard owns an orchard that has a rectangular fence. The orchard is 35 feet longand 18 feet wide. If he walks across the diagonal length of the orchard, how muchdistance would he cover?351839.4 ftftftCarol pitches a tent at a Girl Scout camp. She ties a rope from the tip of the pole to the pegnailed into the ground, as shown. The pole is 8 feet high and the distance between the baseof the pole and the peg is 7 feet. Determine the length of the rope.?8 ft3)10.6 ft7 ft4)Ross and Monica are playing on a seesaw. Monica’s seat is grounded. The height of thefulcrum is 2 feet. The distance from grounded end of the seesaw to the fulcrum is 4 feet.What is the length of the seesaw?2 ft?9 ft4 ftThe roof rafter of a house has been raised to a height of 13 yards at the ridge. Half thelength of the run measures 9 yards. Find the length of the rafter?9 yd15.8 ydPrintable Math Worksheets @ www.mathworksheets4kids.com13 yd5)
Name :Score :Pythagorean TheoremLevel 1: S3Solve the word problems. Round the answer to the nearest tenth.1)John won a tripod projector screen in a lucky draw. The screen is 9 inches long and 5inches wide. What is the diagonal length of the projector screen?9 inThe mast of a sailboat is 12 feet high. A sturdy rope that supports the mast to the deck is 5feet away from the base of the mast. Determine the length of the rope.?12 ft2)5 in?5 ftBen propped a ladder against the wall of a building. The distance between the base ofthe building and the foot of the ladder is 11 feet. The top of the ladder touches thewall at a height of 27 feet. What is the length of the ladder?27 ft3)?11 ftSandra built a dog house in the shape of a tent. The ridge is 14 meters high and the base ofthe tent is 10 meters wide. Find the slant height of the tent.14 m4)?10 m5)Anne was given a sheet of paper during her math class. She was asked to fold the paper,so as to get the adjacent sides to meet, as shown in the figure. The paper is 15 cm longand 15 cm wide. How much would the diagonal edge of the paper measure?Printable Math Worksheets @ www.mathworksheets4kids.com15 cm15 cm
Name :Answer KeyPythagorean TheoremScore :Level 1: S3Solve the word problems. Round the answer to the nearest tenth.1)John won a tripod projector screen in a lucky draw. The screen is 9 inches long and 5inches wide. What is the diagonal length of the projector screen?9 in5 in?10.3 inThe mast of a sailboat is 12 feet high. A sturdy rope that supports the mast to the deck is 5feet away from the base of the mast. Determine the length of the rope.?12 ft2)5 ft13 ftBen propped a ladder against the wall of a building. The distance between the base ofthe building and the foot of the ladder is 11 feet. The top of the ladder touches thewall at a height of 27 feet. What is the length of the ladder?27 ft3)?29.2 ft11 ftSandra built a dog house in the shape of a tent. The ridge is 14 meters high and the base ofthe tent is 10 meters wide. Find the slant height of the tent.14 m4)?14.9 m10 m5)Anne was given a sheet of paper during her math class. She was asked to fold the paper,so as to get the adjacent sides to meet, as shown in the figure. The paper is 15 cm longand 15 cm wide. How much would the diagonal edge of the paper measure?21.2 cmPrintable Math Worksheets @ www.mathworksheets4kids.com15 cm15 cm
Name :Score :Level 2: S1Pythagorean TheoremSolve the word problems. Round the answer to the nearest tenth.Ruth develops a blueprint with the help of a triangle. The longest side of the instrumentmeasures 14 cm and one of the sides measures 12 cm. Determine the length of the other?side of the instrument?12 cm1)2)14cmCarol bought a coloring book. It is 21 cm long and 17 cm wide. What is the diagonal lengthof the book?21 cmColoring Book?17 cm3)The slope of the rafter is 15 feet. Half the run of the rafter measures 12 feet. Find theheight of the ridge from the base?15ft?12 ft4)A ramp is elevated to a height of 7 inches from the base. The horizontal distance betweenthe lower end of the ramp and the base is 19 inches, as shown in the figure. What is thelength of the ramp?7 in?19 in5)Ashley has a right triangular garden in her backyard. The longest side of the gardenmeasures 50 feet. One of the sides is 30 feet long. Find the length of the other sideof the garden.f50t?30 ftPrintable Math Worksheets @ www.mathworksheets4kids.com
Name :Score :Answer KeyLevel 2: S1Pythagorean TheoremSolve the word problems. Round the answer to the nearest tenth.Ruth develops a blueprint with the help of a triangle. The longest side of the instrumentmeasures 14 cm and one of the sides measures 12 cm. Determine the length of the other?side of the instrument?12 cm1)147.2 cm2)cmCarol bought a coloring book. It is 21 cm long and 17 cm wide. What is the diagonal lengthof the book?21 cmColoring Book?27 cm17 cm3)The slope of the rafter is 15 feet. Half the run of the rafter measures 12 feet. Find theheight of the ridge from the base?15ft?12 ft9 ft4)A ramp is elevated to a height of 7 inches from the base. The horizontal distance betweenthe lower end of the ramp and the base is 19 inches, as shown in the figure. What is thelength of the ramp?7 in?20.2 in5)19 inAshley has a right triangular garden in her backyard. The longest side of the gardenmeasures 50 feet. One of the sides is 30 feet long. Find the length of the other sideof the garden.f50t?40 ft30 ftPrintable Math Worksheets @ www.mathworksheets4kids.com
Name :Score :Level 2: S2Pythagorean TheoremSolve the word problems. Round the answer to the nearest tenth.1)A tree is axed 8 feet above its base. When the tree fell to the ground, the tip of the treelay 10 feet away from its base, as shown in the figure. Determine the length of the part ofthe tree that was axed?8 ft?10 ftBrenda bought a carpet for her apartment. The diagonal length of the carpet is 37 inchesand the width is 12 inches. Find the length of the carpet.3712 in2)in?A napkin is folded in the shape of a right triangle, so as to get the adjacent sides to meetas shown in the figure. The napkin measures 13 cm in length and in width. Determinethe diagonal length of the napkin.13cm13cm3)?Mike pitches a ridge tent. The tent is 16 yards wide and the slope of the tent measures 23yards. What is the height of the tent?23yd4)?16 ydPaul bought a photo frame which measured 10 inches in length and 8 inches in width.Determine the diagonal length of the photo frame.?10 inPrintable Math Worksheets @ www.mathworksheets4kids.com8 in5)
Name :Answer KeyScore :Level 2: S2Pythagorean TheoremSolve the word problems. Round the answer to the nearest tenth.1)A tree is axed 8 feet above its base. When the tree fell to the ground, the tip of the treelay 10 feet away from its base, as shown in the figure. Determine the length of the part ofthe tree that was axed?8 ft?12.8 ft10 ftBrenda bought a carpet for her apartment. The diagonal length of the carpet is 37 inchesand the width is 12 inches. Find the length of the carpet.3735 inin?A napkin is folded in the shape of a right triangle, so as to get the adjacent sides to meetas shown in the figure. The napkin measures 13 cm in length and in width. Determinethe diagonal length of the napkin.13cm13cm3)12 in2)18.4 cmMike pitches a ridge tent. The tent is 16 yards wide and the slope of the tent measures 23yards. What is the height of the tent?23yd4)?21.6 yd16 ydPaul bought a photo frame which measured 10 inches in length and 8 inches in width.Determine the diagonal length of the photo frame.?12.8 inPrintable Math Worksheets @ www.mathworksheets4kids.com10 in8 in5)?
Name :Score :Level 2: S3Pythagorean TheoremSolve the word problems. Round the answer to the nearest tenth.1)Rebecca bought an LED television set that is 32 inches long. The diagonal length measures32 in40 inches. What is the width of the television screen?40in2)?A ramp is elevated to a height of 2 feet. The length of the ramp is 8 feet. What is thehorizontal distance between the lower end of the ramp and the base?2 ft8 ft?Daniel was flying a kite and it suddenly got tangled in a branch of a tree. The tree is13 meters high. Daniel is standing 4 meters away from the base of the tree. Find thedistance between the kite and Daniel’s position on the ground.13 m3)?4mThe mast of a sailboat is supported by a sturdy rope. The rope extends from the tip of themast to the deck and measures 25 feet. The lower end of the rope that is attached to thedeck is 15 feet away from the base of the mast. Determine the height of the mast.25ft4)?15 ftPaul propped a ladder against a wall which measures 10 feet. How high up on the wall willthe ladder reach if the foot of the ladder is 5 feet away from the wall?10ft5)5 ftPrintable Math Worksheets @ www.mathworksheets4kids.com?
Name :Answer KeyScore :Level 2: S3Pythagorean TheoremSolve the word problems. Round the answer to the nearest tenth.1)Rebecca bought an LED television set that is 32 inches long. The diagonal length measures32 in40 inches. What is the width of the television screen?40in?24 in2)A ramp is elevated to a height of 2 feet. The length of the ramp is 8 feet. What is thehorizontal distance between the lower end of the ramp and the base?7.7 ft?Daniel was flying a kite and it suddenly got tangled in a branch of a tree. The tree is13 meters high. Daniel is standing 4 meters away from the base of the tree. Find thedistance between the kite and Daniel’s position on the ground.13 m3)2 ft8 ft?13.6 m4mThe mast of a sailboat is supported by a sturdy rope. The rope extends from the tip of themast to the deck and measures 25 feet. The lower end of the rope that is attached to thedeck is 15 feet away from the base of the mast. Determine the height of the mast.25ft4)15 ft20 ftPaul propped a ladder against a wall which measures 10 feet. How high up on the wall willthe ladder reach if the foot of the ladder is 5 feet away from the wall?10ft5)?8.7 ftPrintable Math Worksheets @ www.mathworksheets4kids.com5 ft?
nailed into the ground, as shown. The pole is 8 feet high and the distance between the base of the pole and the peg is 7 feet. Determine the length of the rope. 3) Ross and Monica are playing on a seesaw. Monica's seat is grounded. The height of the fulcrum is 2 feet. The distance
Figure 7: Indian proof of Pythagorean Theorem 2.7 Applications of Pythagorean Theorem In this segment we will consider some real life applications to Pythagorean Theorem: The Pythagorean Theorem is a starting place for trigonometry, which leads to methods, for example, for calculating length of a lake. Height of a Building, length of a bridge.File Size: 255KB
Grade 8 Pythagorean Theorem (Relationship) 8.SS.1 Develop and apply the Pythagorean theorem to solve problems. 1. Model and explain the Pythagorean theorem concretely, pictorially, or by using technology. 2. Explain, using examples, that the Pythagorean theorem applies only to right triangles. 3. Determine whether or not a triangle is a right .
The Pythagorean Theorem gives you a way to find unknown side lengths when you know a triangle is a right triangle. Objectives Use the Pythagorean Theorem and its converse to solve problems. Use Pythagorean inequalities to classify triangles. Vocabulary Pythagorean triple 27-1 The Pythagorean Theorem
Pythagorean Theorem Showing 2 Examples of using Pythagorean Theorem (1 finding hyp./1 finding leg) 3. Take the Schoology Quiz (Level 2: Pythagorean Theorem) Score of 4 or higher move to level 3 Score of 3 or less, complete 1 of the following tasks BuzzMath Fix Mistakes Alternate Option Complete the following task in BuzzMath Write up the .
o Pythagorean Theorem PPT Unit 1 Day 6: Using the Pythagorean Theorem Homework Help Pythagorean Theorem (Part 1 and 2) Gizmos The Pythagorean Theorem Gap Closing I/S Module 5 Powers and Roots: Facilitator’s Guide o Diagnostic questions 1-4 Module 5 Powers and Roots: Student Book o Pages 6 - 11, 17 - 21
6.1b - Using the Pythagorean Theorem The Pythagorean Theorem can be used to find a missing side of any right triangle, to prove that three given lengths can form a right triangle, to find Pythagorean Triples, and to find the
Pythagorean Theorem and its converse. Procedural: Test if a triangle is a right triangle using the Pythagorean converse. Application: Vocabulary: Pythagorean Theorem, leg, hypotenuse, converse Evidence of Learning (Assessment)
9 ft 12 ft Lesson 6–6 The Pythagorean Theorem 259 Example Your Turn 4 Pythagorean Theorem Pythagorean triple Sample 1: 525 Solution: [ 0] 25 Sample 2: 32 Solution: [ 0]32 5.656854249 5.7 Getting Ready 2nd ENTER 2nd ENTER Example 1 Example 2
