Question

Helppp
(show your work please)
This question is law of cosine

Answer 1

a = 22

Explanation:

The law of cosines can be written 3 different ways for a triangle, each way with a different angle. Here, the given angle is angle A, so we write the law of cosines with angle A.

`a^2 = b^2 + c^2 - 2bc \cos A`

`a^2 = 15^2 + 12^2 - 2(15)(12) \cos 110^\circ`

`a^2 = 225 + 144 - 360 \cos 110^\circ`

`a^2 = 369 - 360(-0.34202)`

`a^2 = 369 + 123.12725`

`a^2 = 492.12725`

`a = √(492.12725)`

`a = 22`