A puzzle piece in the shape of a triangle has perimeter 25 centimeters. Two sides of the triangle are each twice as long as the shortest side. Find the length of the shortest side.

Question

Mathematics

Jon Bean

21 September, 10:21

A puzzle piece in the shape of a triangle has perimeter 25 centimeters. Two sides of the triangle are each twice as long as the shortest side. Find the length of the shortest side.

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Answers (1)

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Julianna Benjamin · Answer 1

Answer: the shortest side is 10 centimeters.

The length of each of the other sides is 10 centimeters each.

Step-by-step explanation:

Let x represent the length of the shortest side of the triangle.

Two sides of the triangle are each twice as long as the shortest side. This means that the length of the two sides would be 2x.

The perimeter of a triangle is the sum of each side of the triangle.

The puzzle piece in the shape of a triangle has perimeter 25 centimeters. This means that

x + 2x + 2x = 25

5x = 25

x = 25/5

x = 5

The length of each of the two sides is

2x = 2 * 5 = 10