Is a triangle with side lengths of sqrt(12), sqrt(7), and sqrt(5) a right triangle?

1 Answer
Nov 10, 2015

Yes, it satisfies Pythagoras equation:

(sqrt(12))^2 = (sqrt(5))^2 + (sqrt(7))^2

So this is a right angled triangle with hypotenuse sqrt(12) and legs sqrt(5) and sqrt(7)

Explanation:

(sqrt(5))^2 + (sqrt(7))^2 = 5+7 = 12 = (sqrt(12))^2