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The lengths of the sides of triangle XYZ are written in terms of the variable m, where m ā‰„ 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

Respuesta :

abidemiokin

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: https://brainly.com/question/21638276

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