header bg

Question:

Which of the following is the solution to the triangle given?

A b = 40.2, c = 35.3, $7272_w62_h13.png$
Explaination

Recall that the sum of the interior angles of any triangle equals $7758_w32_h14.png$. Because 2 angles are given, the third can be found as follows: $8281_w182_h14.png$ To solve for the side lengths, use the law of sines: $9761_w189_h39.png$. Solving for b: $3746_w167_h39.png$ which gives b = 40.2 Performing the same operation to solve for side length c: $8619_w153_h38.png$ which gives c = 35.3