Question

For equilateral triangle: Find x if line segment XZ = 1/2x + 8 and ZY = 2(x-8)

Answer 1

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Answer 2

set them equal to each other
1/2x +8 = 2x -16
-3/2x = -24
x = 16

Answer 3

I am assuming that the triangle is labeled XYZ. Remember that an equilateral triangle has three congruent (or equal) sides. Thus, side XZ = side ZY. Set the measures of the two sides equal to each other and solve for x.

0.5x + 8 = 2(x-8)
0.5x = 2x - 16 - 8
-1.5x = -24
x = 16