# Can you form a right triangle with the three lengths given: 7 in., 24 in., 25 in.?

Oct 27, 2016

This only works if the square of the largest number is the sum of the two other squares.

#### Explanation:

We have to check if:
7^2+24^2 = 25^2?
49+576=625? and this is correct.

Conclusion : Yes, we can!

Note :
The Pythagoras theorem states that:
"In a right-angled triangle the squares of the sides add up to the square of the hypotenuse"
But it also states the reverse:
"If the squares of the sides add up to the square of the hypotenuse, then we have a right-angled triangle".