# 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:

${\left(\sqrt{12}\right)}^{2} = {\left(\sqrt{5}\right)}^{2} + {\left(\sqrt{7}\right)}^{2}$

So this is a right angled triangle with hypotenuse $\sqrt{12}$ and legs $\sqrt{5}$ and $\sqrt{7}$

#### Explanation:

${\left(\sqrt{5}\right)}^{2} + {\left(\sqrt{7}\right)}^{2} = 5 + 7 = 12 = {\left(\sqrt{12}\right)}^{2}$