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30 April, 15:58

Suppose two sides of a triangle have lengths 16 inches and 11 inches. What are the possible lengths x of the third side?

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  1. 30 April, 18:54
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    A^2 + b^2 = c^2

    *assuming x is the hypotonus*

    x^2 = 11^2 + 16^2

    x^2 = 377

    x = square root 377

    x = 19.4 [3sf]

    OR

    *assuming x is not the hypotonus

    c^2 - a^2 = b^2

    16^2 - 11^2 = x^2

    x^2 = 135

    x = square root 135

    x = 11.6 [3sf]
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