Law Of Sines Worksheet - Unbound

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www.MathWorksheetsGo.comOn Twitter: twitter.com/mathprintablesI. Model Problems.II. Practice Problems (1-6)III. Practice(harder) & Word Problems (7 - 18)IV. Challenge ProblemsV. Answer KeyWeb us case - video Tutorial and practice problemsLaw of Sines -video Tutorial and practice problemsPictures of Law of Sines (problem diagrams and formula)Law of Sines and Cosines Worksheets www.MathWorksheetsGo.com All Rights ReservedCommercial Use ProhibitedTerms of Use: By downloading this file you are agreeing to the Terms of Use Described of-use.php .Free Graph Paper : www.mathworksheetsgo.com/paper/

Law of Sines: Ambiguous CaseFor any:AcborBaCI. Model ProblemsIn the following example you will find the possible measures of an angle given the sine of theangle.Example 1:Find theifyShown in Quadrant I isangle A with a sine of .21xAFinding the inverse,.y2130 xIn Quadrant II is anotherangle A with a sine of .y21A30 xTherefore if, then.

In the following example you will find all the possible measures of an angle of a triangle usingLaw of Sines.Example 2:For,whole degreeWrite down known.Draw and label a figure.Drawn is one possibletriangle (in this case anacute triangle). There maybe more than one possibletriangle. Find all the possibleC10834 ABLaw of SinesSubstitute.Isolate.Find the inverse.Round to the nearest wholedegree.Findin Quadrant IICheck to see if 136 is a possibleangle measurement for thetriangle using the sum of theangles of a triangle.to the nearest?

II. Practice Problems1. For,2. For. Find allto the nearest degree.possible,. Findto the nearest degree.all possibleCC7151726 16 AB3. ForA,4. For. Findto the nearest degree.all possibleD,. Findto the nearest degree.all possible41M5227E48 55 F5. ForB24L,N156. For,. Howmany triangles can be formed?. Howmany Triangles can be formed?DB249238 42 A120CE6F

III. Practice (harder) & word problems7. For,. Findall possibleto the nearest degree.8. For9. For,Find all possibledegree.10. For11. For. Find allto the nearest degree.possible,to the nearestall possible,all possible,12. For. Findto the nearest degree. Findto the nearest degree.,all possible. Findto the nearest degree.13. A triangle has two sides with lengths of 20and 15. The measure of the angleopposite the side with a length of 15 is35 . Find all the possible measures of theangle opposite the side with a length of 20to the nearest degree.14. A triangle has two sides with lengths of 45and 44. The measure of the angleopposite the side with a length of 44 is62 . Find all the possible measures of theangle opposite the side with a length of 45to the nearest degree.15. A triangle has two sides with lengths of 63and 75. The measure of the angleopposite the side with a length of 75 is22 . Find all the possible measures of theangle opposite the side with a length of 63to the nearest degree.16. A triangle has two sides with lengths of 42and 37. The measure of the angle oppositethe latter is 20 . Find all the possiblemeasures of the angle opposite the sidewith a length of 42 to the nearest degree.17. A triangle has two sides with lengths of 15and 9. The measure of the angle oppositethe latter is 34 . How many triangles canbe formed?18. A triangle has two sides with lengths of 17and 19. The measure of the angle oppositethe latter is 5 . How many triangles canbe formed?.

IV. Challenge Problems19. For the figure below findandto the nearest whole degree, given.20. For the figure below findandto the nearest whole degree, given.DB48 201010G25 ADC9E77F21. Line segment AB has a length of 15 and. A segment with a length of 12 willform the third side of the triangle. What are the possible measures of the angle opposite sideAB?22. For,23. For,. Find all possibleto the nearest degree.24. For,. Find all possibleto the nearest degree.25. For,. Find all possible measurements of f to thenearest whole number., how many triangles can be formed?

V. Answer Key1.2.3.4.5. Two triangles ()6. One Triangle ()7.8.9.10.11.12.13.14.15.16.17. Two triangles (18. One Triangle())19.20.21.22. none, b is too short (if a is less than23. there is no possibleno triangle is formed- a is too short)that will form a triangle with the given dimensions24.25. www.MathWorksheetsGo.com All Rights Reserved

In the following example you will find all the possible measures of an angle of a triangle using Law of Sines

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