Question

Solve for x in the triangle
A 25.6
B 27.8
C 45.6
D 64.4

Answer 1

The measure of angle x is
`64.4\°`

Explanation:

To find the measure of angle X, apply the law of cosines

The law of cosines states that

`c^(2)=a^(2)+b^(2)-2(a)(b)cos(C)`

In this problem we have

`a=19\ cm`

`b=25\ cm`

`c=24\ cm`

`C=x\°`

substitute

`24^(2)=19^(2)+25^(2)-2(19)(25)cos(C)`

`576=986-950cos(C)`

`cos(C)=(986-576)/950`

`C=arccos[(986-576)/950]=64.4\°`

Therefore

The measure of angle x is
`64.4\°`