Law of Sines AB C a c b h Warm-Up: Find two different expressions for h, one using angle A and one using angle B Objective: Be able to use the law of sines.

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Area = ½ bc sinA = ½ ab sinC = ½ ac sinB

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Law of Sines AB C a c b h Warm-Up: Find two different expressions for h, one using angle A and one using angle B Objective: Be able to use the law of sines to solve for missing pieces of non-right triangles. TS: Explicitly assessing information and drawing conclusions.

Law of Sines For any triangle ΔABC,

Solve the triangle AB C a c ° 42°

Ambiguous Case (SSA) Solve the triangle given a = 22in, b = 12in and A = 42°

Ambiguous Case (SSA) Solve the triangle given a = 15, b = 25 and A = 85°

Ambiguous Case (SSA) Solve the triangle given a = 12m, b = 31m and A = 20.5°

Area of an Oblique Triangle AB C a c b

Find the Area of the triangle Find the surface area of a triangle table top if two edges are 96inches and 5feet and the included angle is 100°