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29 August, 16:02

A triangle has a perimeter of

53

inches. The medium side is

4

more than the short side, and the longest side is

5

times the length of the shortest side. Find the shortest side.

+3
Answers (1)
  1. 29 August, 16:40
    0
    The smallest side is 7inches

    Step-by-step explanation:

    Let the shorter side be y.

    The medium side is 4 more than the short side i. e

    Meduim side = 4 + y

    The longest side is 5 times the length of the shortest side i. e

    Logest side = 5y.

    Perimeter of the triangle = 53 inches

    But the perimeter of a triangle is the Sum of all sides i. e

    P = small + medium + large

    53 = y + (4+y) + 5y

    53 = y + 4 + y + 5y

    Collect like terms

    53 - 4 = 7y

    49 = 7y

    Divide both side by 7

    y = 49/7

    y = 7inches

    Therefore the smallest side is 7inches
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