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27 May, 01:27

Two sides of a right triangle have lengths of 2 centimeters and 7 centimeters. The third side is NOT the hypotenuse. How long is the third side?

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  1. 27 May, 03:55
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    Use the Pythagorean Theorem: a² + b² = c².

    a and b are the leg lengths and c is the hypotenuse.

    The hypotenuse is the longest side of the three, so you know the hypotenuse is 7 cm.

    We'll make 2 cm = a, and the third side = b.

    Plug these into the formula.

    2² + b² = 7²

    4 + b² = 49

    b² = 45

    Square root b and 45 to find the length of the third side.

    √b = √45

    b = 6.71

    The third side is 6.71 centimeters.
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