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27 July, 13:17

A triangle has a perimeter of 7x-2y+15 and has sides of length 5x+y and 7+x, what is the length of the third side?

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  1. 27 July, 13:36
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    x - 3y + 8

    Step-by-step explanation:

    The perimeter of a triangle is sum of all the three sides.

    One side is 5x + y

    Another side is 7 + x

    Let third side be m

    And perimeter is 7x - 2y + 15

    We simply sum the 3 sides and equate it to expression of perimeter and find m (third side). Shown below:

    5x + y + 7 + x + m = 7x - 2y + 15

    6x + y + 7 + m = 7x - 2y + 15

    m = 7x - 2y + 15 - 6x - y - 7

    m = x - 3y + 8

    This is the length of the third side "x - 3y + 8"
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