The length of the hypotenuse of a right triangle is 24 inches. If the length of one leg is 8 inches, what is the approximate length of the o

Question

The length of the hypotenuse of a right triangle is 24 inches. If the length of one leg is 8 inches, what is the approximate length of the other leg?

A) 16.0 inches
B) 18.4 inches
C) 22.6 inches
D) 25.3 inches

0

Answers ( No )

    0
    2022-01-04T15:05:31+00:00

    We use to compute this problem the following theorem:
    Pythagoream theorem:

    hypotenuse²=leg₁²+leg₂²

    Data:
    hypotenuse=24 in
    leg₁=8 in
    leg₂=?

    hypotenuse²=leg₁²+leg₂²
    (24 in)²=(8 in)²+ leg₂²
    leg₂²=(24 in)²-(8 in)²
    leg₂²=576 in²-64 in²
    leg₂²=512 in²
    leg₂=√(512 in²)≈22.63 in

    Answer: C) 22.6 inches. 

    0
    2022-01-04T15:05:37+00:00

    A, use the Pythagorean theorem. A squared plus B squared equals C Squared, or A+B=C. In other words, 24 (Which is C) – 8 (Which is B)=16 (Which is A).

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