Question

If triangles MNP is an equilateral triangle, find x and the measure of each side.

Answer 1

The value of x = 13

Each side of the equilateral triangle is: 27 units.

What is an equilateral Triangle?

A triangle is classified or defined as an equilateral triangle if all its sides are of the same length. This means, all equilateral triangles have side lengths that are congruent.

Since triangle MNP is said to be an equilateral triangle, all its sides would be equal to each other. Therefore:

MN = NP = MP

Given the following:

MN = 4x - 25

NP = x + 14

MP = 6x - 51

Thus:

MN = NP

Substitute

4x - 25 = x + 14

4x - x = 25 + 14

3x = 39

x = 39/3

x = 13

MN = 4x - 25 = 4(13) - 25 = 27

MN = NP = MP

NP = 27

MP = 27

Learn more about equilateral triangles on:

brainly.com/question/15294703

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