Question

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

16, 32, 36

8, 12, 16

9, 10, 11

3, 4, 5

Answer 1

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

Answer 2

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 :)