Question

If​ possible, complete the equation below that uses the law of cosines to find the remaining side of the triangle.

Answer 1

Option C.

a = 20.3

Explanation:

Given:

m<A = 32°

a = ??

b = 16

c = 32

Required:

Find a

SOLUTION;

To find the missing side, a, of the triangle, apply the Law of Cosines,
`a^2 = b^2 + c^2 - 2bcCosA`

Plug in the values into the equation:

`a^2 = 16^2 + 32^2 - 2(16)(32)Cos32`

`a^2 = 1,280 - 1,024*Cos32`

`a^2 = 1,280 - 868.40125`

`a^2 = 411.59875`

`a = √(411.59875)`

`a = 20.3` (nearest tenth)