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22 December, 09:47

The legs of a right triangle are 6 and 10 cm long, respectively. what is the length of the hypotenuse? if necessary, round your answer to two decimal places.

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  1. 22 December, 11:29
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    The relationship between the legs and hypotenuse is described by the Pythagorean Theorem, which states that

    (leg) ² + (other leg) ² = (hypotenuse) ²

    Here, our legs are 6 and 10. Calling our hypotenuse "h", his means that

    6² + 10² = h²

    36 + 100 = h²

    136 = h²

    Taking the square root of both sides, we find that h = √136 ≈ 11.66 cm
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