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22 October, 08:08

One side of triangle is half the longest side. The third side is

10

10 feet less than the longest side. The perimeter is

75

75. Find all three sides.

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Answers (1)
  1. 22 October, 08:09
    0
    Let S be the first side.

    Longest side is then 2S.

    Third side is 2S-10.

    Perimeter is sum of all three sides = S+2S+2S-10 = 75

    =>

    5S-10=75

    5S=75+10=85

    S=17

    Therefore

    S=17 is the first side.

    Longest side is then 2S=2*17=34.

    Third side is 2S-10=2*17-10=24.
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