### Home > A2C > Chapter 8 > Lesson 8.1.2 > Problem8-23

8-23.

Find the value of $x$.

1. Use the Law of Cosines:

For any ΔABC, $a² = b² + c² ≈ 2bc \cdot \operatorname{cos}\left(A\right)$.

$x ≈ 33.752$

1. Use the Law of Sines:

For any $ΔABC$,

$\frac{\sin A}{a} = \frac{\sin C}{b} = \frac{\sin C}{c} .$

$x ≈ 9.663$