Question

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

Answer 1

Option B is correct. The correct sequence regarding the angles of the triangle is mAngleY < mAngleZ < mAngleX

Given the length of the triangle expressed as;

XY = m + 8

YZ = 2m + 3

ZX = m - 3

According to the triangular theorem, the third side of the triangle is less than the sum of the other two sides, hence:

ZX < XY + YZ

m - 3 < m + 8 + 2m + 3

m - 3 < 3m + 11

m - 3m < 11 + 3

-2m < 14

m > -14/2

m > -7

Assuming that m = 6, since 5 > -7

ZX = m - 3

ZX = 6 - 3

ZX = 3

XY = m + 8

XY = 6 + 8

XY = 14

YZ = 2m + 3

YZ = 2(6) + 3

YZ = 12 + 3

YZ = 15

From the solutions, we can see that ZX < ZX < YZ, hence mAngleY < mAngleZ < mAngleX

Learn more here: brainly.com/question/21638276