Question

Use the Law of Sines to find the missing side of the triangle.

Find the measure of b, given mA=34 degrees, mB=78 degrees, and a=36

A. 19.7
B. 20.6
C. 63.0
D. 42.5

Answer 1

Using the law of sines, we can write the formula as:


`(a)/(sin(A))= (b)/(sin(B)) \\ \\ b= (a*sin(B))/(sin(A))`

We are given the values of a, A and B. Using these in the above formula, we get:


`b= (36*sin(78))/(sin(34)) \\ \\ b=62.97`

Rounding to nearest integer, the length of side b will be 63.

So, option C gives the correct answer