Question

The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ≥ 6.

Triangle X Y Z is shown. The length of side X Y is m + 8, the length of side Y Z is 2 m + 3, the length of side Z X is m minus 3.

Which is correct regarding the angles of the triangle?

mAngleX < mAngleZ < mAngleY
mAngleY < mAngleZ < mAngleX
mAngleY < mAngleX < mAngleZ
mAngleZ < mAngleY < mAngleX

Answer 1

mAngleZ < mAngleY < mAngleX

Explanation:

Plug 6 into each equation to solve for the sides of the triangle. Side XY is 14. Side YZ is 15. Side Z is 3. Then use trig to solve for the angles. Angle X is 103°. Angle Y is 65°. Angle Z is 11°. Z is the smallest angle and X is the largest.