Question

Given the triangle below, use the law of cosines to solve for x

Answer 1

Answer:

The correct option is B

x = 7.75

Explanation:

To find the value of C using cosines law, we have:

$\begin{gathered} x^2=a^2+b^2-2ab\cos C \\ \\ =2^2+9^2-2(9)(2)\cos46 \\ \\ =85-36\cos46 \\ \\ x^2=59.99 \\ \\ x=\sqrt{59.99}\approx7.75 \end{gathered}$