Question

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

Answer 1

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!=R`, so the triangle is not right.