which set of side lengths form a right triangle? A. 8 cm, 17 cm, 14 cm B. 50 in., 48 in., 14 in. C. 53 m, 48 m, 24 m D.

Question

which set of side lengths form a right triangle?
A. 8 cm, 17 cm, 14 cm
B. 50 in., 48 in., 14 in.
C. 53 m, 48 m, 24 m
D. 3 ft, 6 ft, 5 ft​

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Sarah 3 months 2021-10-17T06:53:16+00:00 2 Answers 0 views 0

Answers ( )

    0
    2021-10-17T06:54:18+00:00

    Answer:

    I think the answer is B.

    0
    2021-10-17T06:54:41+00:00

    Answer:

    b.) 50,48,14

    Step-by-step explanation:

    To find if a set of lengths makes a right triangle, use the Pythagorean theorem:

    a^2+b^2=c^2

    If a and b squared equal c squared, then the set makes a right triangle. C (the hypotenuse) is the largest number of the set because the hypotenuse is always the largest side in a right triangle.

    Use the options:

    a.) insert values:

    8^2+14^2=17^2\\64+196=289\\260\neq 289

    260 does not equal 289, so a is wrong.

    b.) insert values:

    14^2+48^2=50^2\\196+2304=2500\\2500=2500

    2,500 equals 2,500, so b is correct.

    Finito.

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