The perimeter of a triangle is 120. If the ratio of the triangle’s side is 4:5:6, what is the length of the shortest side?

Question

The perimeter of a triangle is 120. If the ratio of the
triangle’s side is 4:5:6, what is the length of the
shortest side?

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Doris 4 years 2021-08-05T20:54:22+00:00 1 Answers 24 views 0

Answers ( )

  1. Farah
    0
    2021-08-05T20:56:08+00:00
    Reply

    Answer:

    32 units

    Step-by-step explanation:

    first, we need to split 120 between the 4:5:6 ratio.

    What we need to do is make the ratio be 4x:5x:6x  (it’ll still the same ratio). Then we add all of the x’s together and make that equal 120.

    4x+5x+6x=120

    15x=120

    divide by 15

    x=8

    Looking at the ratio, the shortest side is 4x. Since we know the value of x, we can multiply the two together.

    4(8)=32 units

    Therefore the length of the shortest side is 32 unites

    Hope this helps!

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