Home > INT3 > Chapter 10 > Lesson 10.1.3 > Problem10-47

10-47.

What is the value of $x$ in each diagram below?

1. Use the Law of Cosines:

For any $ΔABC$,
$a^{2} = b^{2} + c^{2} − 2bc · \text{cos}\left(A\right)$.

$x ≈ 33.752$

1. Use the Law of Sines:

For any $ΔABC$,

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

$x ≈ 9.663$