solve the missing sides

Question

<B=35 side a is 250 how can i find sides b and c.

Answer 1

Consider the traingle ABC shown.

In relation to the angle B

The side a is "adjacent" and side b is "opposite".

CosB = a/c

Cos (35) = 250/c

0.819 = 250/c

c = 250/0.819

c = 305.25

From pythagoras theorem a² + b²= c²

(250)^2 + b² = (305.25)^2

b² = (305.25)^2 - (250)^2

b² = 93117.56 - 62500

b² = 30617.56

b = 174.97

Missing sides are b = 175 and c = 305.