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Ymorist [56]
3 years ago
8

The perimeter of a triangle is 117 inches. If one side of the triangle is 11 more than the shorter side, and the longer side is

25 more than the shorter side, find the lengths of the three sides?
Mathematics
1 answer:
VLD [36.1K]3 years ago
6 0

Let the shorter side be x.

"one side of the triangle is 11 more than the shorter side" is x + 11

"and the longer side is 25 more than the shorter side" is x + 25


x + x + 11 + x + 25 = 117


3x + 36 = 117


3x = 81


x = 27


x + 11 = 38


x + 25 = 52


Answer: The sides have lengths 27 in., 38 in., and 52 in.

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<h3>Further explanation </h3>

Adjacent Angles are two angles that share a common vertex, a common side, and no common interior points. They share a vertex and side, but do not overlap. The example is shown in the picture below.  

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<h3>Learn more</h3>
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<h3>Answer details</h3>

Grade:  9

Subject:  mathematics

Chapter:  pair of angles

Keywords:   vertical angles, adjacent angles, pair of angles, complementary angles, horizontal angles

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