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

Answer:

Parte1 :

∡B= 180 - (42 + 83)= 55°

Parte2 :

Using the law of sines : $\frac{sin 42}{a} = \frac{sin 55}{175}$ ⇔ $a = sin42 \frac{175}{sin 55}$ ⇔ a= 142.95

Parte3 :

Using the same law : $c = sin 83\frac{a}{sin 42}$  or  $c= sin 83\frac{175}{sin 55}$  ⇔ c= 212.04