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13 November, 05:08

A billiards triangle is equilateral. What is its perimeter?

One side is (2x+1) in and the other is (4x - 9 1/4) in.

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  1. 13 November, 05:35
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    Equilateral triangle: is a triangle in which all tree sides are equal.

    therefore:

    one side (2x+1) in = other side (4x-9 1/4) in

    9 1/4=9+1/4 = (36+1) / 4=37/4

    we have this equation:

    2x+1=4x-37/4

    lowest common multiple=4

    8x+4=16x-37

    8x-16x=-37-4

    -8x=-41

    x=-41/-8

    x=5.125

    therefore:

    lenght of the side = (2x+1) = (4x - 9 1/4)

    2x+1=2 (5.125) + 1=11.25

    Perimeter of a equilateral triangle=3 (lenght of the side)

    Perimeter of this equlateral triangle=3 (11.25) = 33.75

    Answer: the perimeter of this equilateral triangle is 33.75 in.
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