Question

Which set of numbers could represent the lengths of the sides of a right triangle?

Answer 1

3, 4, 5 is the only one out of all four that represents a right triangle<span />

Answer 2

Answer:

Step-by-step explanation:

Alright, lets get started.

For being any triangle , a right triangle, the sides should follow the Pythagorean theorem, which is as follows :

$c^2=a^2 + b^2$

Where c is the largest side.

So, checking the options one by one

16, 32, 36

$36^2=1296$

$16^2 + 32^2 = 1280$

Both are not equal so, it is not right triangle.

8, 12, 16

$16^2=256$

$8^2 + 12^2 =208$

Both are not equal so, it is not right triangle.

9, 10, 11

$11^2=121$

$9^2 + 10^2=181$

Both are not equal so, it is not right triangle.

3, 4, 5

$5^2=25$

$3^2 + 4^2=25$

Both are equal so, it is sides of right triangle.   :   Answer is 3, 4, 5

Hope it will help :)