Question

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

Answer 1

Answer:

Option C.

a = 20.3

Step-by-step 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:

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

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

$a^2 = 1,280 - 868.40125$

$a^2 = 411.59875$

$a = \sqrt{411.59875}$

$a = 20.3$ (nearest tenth)