Question

What is the value of X

Answer 1

Answer:

x ≈ 23.31

Step-by-step explanation:

We can use the law of cosines because we know 2 sides and 1 angle.

The general formula  for the law of cosines if the triangle sides are a, b,c and α is the angle between sides a and b. c is the missing side.

$c = \sqrt{a^{2} +b^{2} -2*a*b* cos \alpha }$

In our problem the law of cosines is

x = $\sqrt{21^{2} +13^{2} - 2*21*13 *cos 83}$

x ≈ 23.31