The perimeter of a triangle is 17 inches. The first side is twice the second. The third side is 3 inches less than the second side. Find the

Question

The perimeter of a triangle is 17 inches. The first side is twice the second. The third side is 3 inches less than the second side. Find the measure of the longest side.

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Linh Đan 3 years 2021-08-17T06:14:36+00:00 1 Answers 8 views 0

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  1. trucchi
    0
    2021-08-17T06:16:14+00:00
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    Given:

    Perimeter of a triangle = 17 inches

    First side is twice the second.

    Third side is 3 inches less than the second side.

    To find:

    The measure of the longest side.

    Solution:

    Let the second side be x. Then,

    First side = 2x

    Third side = x-3

    We know that, perimeter of a triangle is the sum of all three sides of it.

    (2x)+x+(x-3)=17

    4x-3=17

    4x=17+3

    4x=20

    Divide both sides by 4.

    x=5

    Now,

    First side = 2(5)=10 inches

    Second side = 5 inches

    Third side = 5-3=2  inches

    Therefore, the measure of the longest side is 10 inches.

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