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29 June, 08:43

The longest side of a right triangle is 15 cm long another side is 12 cm long what is the length of the third side

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  1. 29 June, 08:57
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    The question is tricky. But any way the longest side of a right triangle is always the hypotenuse. So we know the hypotenuse if 15 cm.

    Now, consider the Pythagorean theorem:

    a^2 + b^2 = h^2, where a and b are the sides of a right triangle and h is the hypotenuse.

    We know one side is 12cm and the hypotenuse is 15 cm, so:

    12^2 + b^2 = 15^2, or 1 44 + b^2 = 225

    subtract 144 from either side to get

    b^2 = 225 - 144 = 81

    now take the square root of either side to get

    b = 9

    The third side is 9 cm
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