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17 February, 01:50

The lengths of two sides of a right triangle are given. Find the length of the third side to the nearest tenth of a unit.

leg: 7 m; hypotenuse: 14 m

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  1. 17 February, 03:27
    0
    the length of the third side is 12.1m

    Step-by-step explanation:

    by Pythagoras we know the relationship of the sides of a rectangular triangle that is given by the formula h^2 = l1^2 + l2^2

    h = hypotenuse = 14m

    l1 = leg1 = 7m

    l2 = leg2

    h^2 = l1^2 + l2^2

    14^2 = 7^2 + l2^2

    196 = 49 + l2^2

    196 - 49 = l2^2

    147 = l2^2

    √147 = l2

    12.124 = l2

    rounding to the nearest tenth

    l2 = 12.1
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