Question

Which set of side lengths form a right triangle?

Answer 1

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.

Answer 2

Answer:

I think the answer is B.