Question

Which of the following sets of numbers is a Pythagorean triple?

6, 11, 13
5, 12, 13
5, 10, 13
None of these choices are correct.

Answer 1

5, 12, 13

Explanation:

a² + b² = c²

c is the Hypotenuse (the triangle side opposite of the 90° angle). it is the longest side in a right-angled triangle.

a, b are the legs of the right-angled triangle.

so, they are Pythagorean rules, if the sum of the squares of the 2 smaller numbers is equal to the square of the largest number.

6² + 11² = 13²

36 + 121 = 169

157 = 169

wrong.

5² + 12² = 13²

25 + 144 = 169

169 = 169

correct.

5² + 10² = 13²

25 + 100 = 169

125 = 169

wrong.