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28 August, 20:47

The middle side of a triangle is 3 cm longer than the shortest side, and the longest side is 4 cm longer than the middle side. Find the lengths of all three sides if the perimeter is 97 cm.

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  1. 28 August, 21:13
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    shortest side = 29 cm

    middle side = 29 + 3 = 32 cm

    longest side = 32 + 4 = 36 cm

    Step-by-step explanation:

    Let,

    Shortest side = x

    Middle side = x + 3

    Longest side = x+3+4

    Now according to condition,

    x+x+3+x+3+4 = 97 cm

    3x + 10 = 97 cm

    3x = 97 - 10 cm

    3x = 87 cm

    x = 87/3 cm

    x = 29 cm

    Now putting value of x in three sides we get,

    Shortest side = 29 cm

    Middle side = 32 cm

    Longest side = 36 cm
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