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Math Help - Solving a problem using linear equations

  1. #1
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    Solving a problem using linear equations

    In an isosceles triangle, 2 sides of equal length are together 8 cm longer than the third side. If the perimeter of the triangle is 32 cm, what is the length of each side?


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  2. #2
    Member billa's Avatar
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    Call x the length of one of the two equal sides
    Call y the length of the third side

    2x+y=32
    because perimeter = length of all three sides added together
    2x=y+8
    because "2 sides of equal length are together 8cm longer than third side"
    One way to solve is by substitution
    y=2x-8
    so,
    2x+(2x-8)= 32
    4x=40
    x=10
    So each of the equal sides has length ten
    You can probably take it from here
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