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The perimeter of a triangle is 29. One side of a triangle is 5 less than twice the side of the shortest length. The third side is 6 more than the shortest side. What are the lengths of the triangle?

1 Answer

7 votes

Answer:

  • 7, 9, 13

Explanation:

Let the sides of the triangle be a, b and c.

We have:

  • P = a + b + c = 29
  • a = 2b - 5
  • c = b + 6

Substitute values and solve for b:

  • 2b - 5 + b + b + 6 = 29
  • 4b + 1 = 29
  • 4b = 28
  • b = 7

Find a and c:

  • a = 2*7 - 5 = 14 - 5 = 9
  • c = 7 + 6 = 13

The sides are: 7, 9, 13

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