A right triangle has legs that are both 10 inches long. How long is the hypotenuse?

Question

A right triangle has legs that are both 10 inches long. How long is the hypotenuse?

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Ayla 2 weeks 2021-09-13T10:55:24+00:00 2 Answers 0

Answers ( )

    0
    2021-09-13T10:56:27+00:00

    Answer:

    10√2 inches

    Step-by-step explanation:

    10^2 + 10^2 = 200

    square root of 200 = 10√2

    use pythagorean theorem

    0
    2021-09-13T10:56:52+00:00

    Answer:

    10\sqrt{2} inches

    Step-by-step explanation:

    If c^{2} = a^{2} + b^{2} , where c is the hypotenuse and a/b are the legs, in a right triangle, then:

    c^{2} = 10^{2} + 10^{2}

    c^{2} = 100 + 100\\= 200\\=> c = \sqrt{200} = \sqrt{100} \sqrt{2} = 10\sqrt{2}

    Thus, the hypotenuse is 10\sqrt{2} inches (don’t forget the units!)

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