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

Respuesta :

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

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 :

[tex]c^2=a^2 + b^2[/tex]

Where c is the largest side.

So, checking the options one by one

16, 32, 36

[tex]36^2=1296[/tex]

[tex]16^2 + 32^2 = 1280[/tex]

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

8, 12, 16

[tex]16^2=256[/tex]

[tex]8^2 + 12^2 =208[/tex]

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

9, 10, 11

[tex]11^2=121[/tex]

[tex]9^2 + 10^2=181[/tex]

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

3, 4, 5

[tex]5^2=25[/tex]

[tex]3^2 + 4^2=25[/tex]

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

Hope it will help :)