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15 November, 07:46

The figure shown is an equilateral triangle. Calculate the length of each side and give your answer in cm.

First side:2x-7

Second side:x+y-9

Third side:y+5

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  1. 15 November, 07:53
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    Given at you have an equilateral triangle, all sides have the same length.

    Therefore,

    First side 2x-7 = Second side x+y-9 = Third side y+5

    Let us look at the second and third sides for now:

    x+y-9 = y+5

    x = y+5 - (y-9)

    x = y-y+5+9

    x = 14

    Then we look at equating the first and third sides:

    2x-7 = y+5

    y = 2x-7-5

    Substitute x = 14 in the equation above:

    y = 2 (14) - 7-5

    = 28-7-5

    = 21-5

    = 16

    The length of the third side is:

    y+5 = 16 + 5 = 21

    Given that the length of each sides are the same in an equilateral triangle, all sides have the length 21cm.
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