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

B

Explanation:

Trust the process

Answer 2

mAngleY < mAngleZ < mAngleX

Explanation:

Since m ≥ 6

Let's assume m = 7

XY = m + 8 = 7 + 8 = 15

YZ = 2 m + 3 = 2(7) + 3 = 17

ZX = m - 3 = 7 - 3 = 4

When solved, the angles of the triangle are given below;

∠X = 113.58

∠Y = 12.45

∠Z = 53.97

Arranging in order;

∠Y < ∠Z < ∠X

The correct option is;

mAngleY < mAngleZ < mAngleX