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# 13.5 Law of Sines - PowerPoint PPT Presentation

13.5 Law of Sines. Determine whether the following will have 0, 1 or 2 triangles. Remember your rules for when you need to check!!! (one angle and two sides). 1.) a = 36in, b = 45in , <A = 22°. Answer: 2. 2.) <B = 47°, b = 12ft , c = 17ft. Answer: 0.

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### 13.5 Law of Sines

Remember your rules for when you need to check!!! (one angle and two sides)

4.) a = 345 triangles.yds,

b = 201 yds, <B = 37°

5.) a = 49 miles, triangles.

b = 43 miles, <A = 63°

Hint: They should look familiar…

9.) triangles…then SOLVE! a = 36 in, b = 45in , <A = 22°

Answer: 2 TrianglesTriangle 1: Triangle 2: <B = 27.9° <B = 152.1°<C = 116.1° <C = 5.9°c = 86.3in c = 9.9in

10.) triangles…then SOLVE! <C = 23°,

<B = 41°, b = 5m

Answer: 1 triangle<A = 116° a = 6.8m c = 3.0 m

11.) triangles…then SOLVE! <C = 54°, b = 85 ft, c = 72 ft

Answer: 2 trianglesTriangle 1: Triangle 2:<B = 72.8° <B = 107.2°<A = 53.2° <A = 18.8°a = 71.3 ft a = 28.7 ft

12.) triangles…then SOLVE! a = 49 miles,

b = 43 miles, <A = 63°

Answer: 1 Triangle<B = 51.4°<C = 65.6°c = 50.1 miles

13.) triangles…then SOLVE! <B = 45°,

c = 20mm , b = 16mm

Answer: 2 trianglesTriangle 1: Triangle 2:<C = 62. 1° <C = 117.9°<A =72.9° <A = 17.1°a = 21.6 mm a = 6.7 mm