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​

Answer 1

I think the answer is B.

Answer 2

b.)
`50,48,14`

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\\eq 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.