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Posted by on Sunday, July 24, 2011 at 10:03pm.

the perimeter of an isosceles triangle is 21 meters. the length of one side is 3 meters longer than the length of the other two sides. find the length of each side.

  • math - , Sunday, July 24, 2011 at 11:27pm

    sides : x, x , 21-2x

    "the length of one side is 3 meters longer than the length of the other two sides"

    This is ambiguous

    1st interpretation:

    ----> 21-2x = x+x+3
    -4x = -18
    x = 4.5

    sides are 4.5, 4.5, and 12
    This is not a possible triangle.
    To have a triangle the longest side must be less than the sum of the other two sides,

    2nd interpretation:

    ---> 21-2x = x+3
    -3x = -18
    x = 6
    sides are 6, 6, and 9

    This one works.

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