what’s the length of one leg of a right triangle if the length of the other leg is 24 units and the length of the hypotenuse is 25 units

Question

what’s the length of one leg of a right triangle if the length of the other leg is 24 units and the length of the hypotenuse is 25 units

A. 24.45 units
B. 23.47 units
C. 8 units
D. 7 units

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Claire 3 months 2021-09-04T22:45:09+00:00 1 Answer 0

Answers ( )

    0
    2021-09-04T22:46:32+00:00

    Answer:

    D. 7 units

    Step-by-step explanation:

    Use the Pyhagorean theorem:

    leg^2+leg^2=hypotenuse^2

    We have

    leg=24,\ hypotenuse=25

    Let’s mark the other leg as x.

    Substitute:

    24^2+x^2=25^2

    576+x^2=625           subtract 576 from both sides

    x^2=49\to x=\sqrt{49}\\\\x=7

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