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1. 1. Law of Sines May 10, 2011 The Law of Sines Objectives: 1.  To apply the Law of Sines 2.  To develop problem‐solving skills. The Law of Sines can be used to find missing parts of any triangles! Law of Sines In ΔABC: a, b, & c represent the measures of the sides opposite the angles with C measures A, B, & C. b a THEN: sin A = sin B = sin C A c B a b c The Law of Sines can be used to solve a triangle in the following cases: Case 1: You know the measure of two angles and any side of a triangle. What is looks like: Case 2: You know the measures of 2 sides and an angle opposite one of these sides of the triangle. What is looks like:HW Law of Sines Wkst 1
2. 2. Law of Sines May 10, 2011 Find b. Round to the nearest tenth. C 68o 3 37o A b B Triangle Area You can find the area of a triangle by using the follwing: A = 1/2 ab sinC where a & b are the lengths of 2 sides and C is the angle between these two sides. b h C a Find the area 9 50o 18HW Law of Sines Wkst 2
3. 3. Law of Sines May 10, 2011 Find p. Round to the nearest tenth. Then, find the area of ΔPQR Q 8 17o 29o P R What is the area of ΔLMN if n = 7, l = 9, and measure of angle N = 43o?HW Law of Sines Wkst 3
4. 4. Law of Sines May 10, 2011 A house is built on a triangular plot of land. Two sides of the plot are 160 feet long, and they meet at an angle of 85o. If a fence is to be placed along the perimeter of the property, how much fencing materials is needed? How many square feet of property does the landowner possess?HW Law of Sines Wkst 4
5. 5. Law of Sines May 10, 2011 HW: Law of Sines WorksheetHW Law of Sines Wkst 5