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)

Answer: 2 1.) a = 36in, b = 45in, <A = 22°

Answer: 0 2.) <B = 47°, b = 12ft, c = 17ft

Answer: 1 3.) <C = 23°, <B = 41°, b = 5m

Answer: 0 4.) a = 345 yds, b = 201 yds, <B = 37°

Answer: 1 5.) a = 49 miles, b = 43 miles, <A = 63°

Answer: 2 6.) <C = 54°, b = 85 ft, c = 72 ft

Answer: 2 7.) <B = 45°, c = 20mm, b = 16mm

Answer: 2 8.) a = 2 in, b = 3in, <A = 37°

Hint: They should look familiar… Determine whether the following have 0, 1, or 2 triangles…then SOLVE!

Answer: 2 Triangles Triangle 1:Triangle 2: <B = 27.9° <B = 152.1° <C = 116.1°<C = 5.9° c = 86.3inc = 9.9in 9.) a = 36 in, b = 45in, <A = 22°

Answer: 1 triangle <A = 116° a = 6.8m c = 3.0 m 10.) <C = 23°, <B = 41°, b = 5m

Answer: 2 triangles Triangle 1: Triangle 2: <B = 72.8°<B = 107.2° <A = 53.2°<A = 18.8° a = 71.3 fta = 28.7 ft 11.) <C = 54°, b = 85 ft, c = 72 ft

Answer: 1 Triangle <B = 51.4° <C = 65.6° c = 50.1 miles 12.) a = 49 miles, b = 43 miles, <A = 63°

Answer: 2 triangles Triangle 1:Triangle 2: <C = 62. 1°<C = 117.9° <A =72.9°<A = 17.1° a = 21.6 mm a = 6.7 mm 13.) <B = 45°, c = 20mm, b = 16mm