# Do the following sets of sides of a triangle satisfy the Pythagorean Theorem: 5,11,13?

Jan 16, 2017

No. Those sides do not form a right triangle.

#### Explanation:

To see if a triangle with sides of given lengths is right, you have to calculate the square of the longest side and check if it equals the sum of squares of 2 other sides:

Here we have:

$L = {13}^{2} = 169$

$R = {5}^{2} + {11}^{2} = 25 + 121 = 146$

Here we have $L \ne R$, so the triangle is not right.