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

9, 10, 11

16, 32, 36

8, 12, 16

3, 4, 5

3, 4, 5

Step-by-step explanation:

We are given the sets of numbers and we are supposed to find Which set of numbers could represent the lengths of the sides of a right triangle

So, we need to use Pythagoras theorem

1) 9,10,11

Hypotenuse = 11

So, using Pythagoras theorem

Since the given set does not satisfy the Pythagoras theorem.So, the given set  of number could not represent the lengths of the sides of a right triangle.

2)16, 32, 36

Hypotenuse = 36

So, using Pythagoras theorem

Since the given set does not satisfy the Pythagoras theorem.So, the given set  of number could not represent the lengths of the sides of a right triangle.

3)8, 12, 16

Hypotenuse = 36

So, using Pythagoras theorem

Since the given set does not satisfy the Pythagoras theorem.So, the given set  of number could not represent the lengths of the sides of a right triangle.

4)3, 4, 5

Hypotenuse = 5

So, using Pythagoras theorem

Since the given set satisfy the Pythagoras theorem.So, the given set  of number could represent the lengths of the sides of a right triangle.

Hence 3, 4, 5 is the set of numbers could represent the lengths of the sides of a right triangle