Question

What is the length of the side labeled x cm ? show your work

Answer 1

9.9 cm

Explanation:

Calculate the third angle and then use The Law of Sines.

Sum of angles in triangle is 180°.

angle + 40° + 63° = 180°

angle = 180° - 40° - 63°

angle = 77°

Now we can use the law of sines.

`(x)/(\sin 40) = (15)/(\sin 77)`

`x = (15 \cdot \sin 40)/(\sin 77)`

`x \approx 9.895`

`x \approx 9.9 \text{ cm}`