Question

8. Solve the following triangle for all missing sides and angles.

Part 1: Find the measure of angle B

Part 2: Use the law of sines to find the length of side A

Part 3: Use any method to find the length of side c

Answer 1

Parte1 :

∡B= 180 - (42 + 83)= 55°

Parte2 :

Using the law of sines :
`(sin 42)/(a) = (sin 55)/(175)` ⇔
`a = sin42 (175)/(sin 55)` ⇔ a= 142.95

Parte3 :

Using the same law :
`c = sin 83(a)/(sin 42)` or
`c= sin 83(175)/(sin 55)` ⇔ c= 212.04