# A triangle has sides with lengths of 15 inches, 36 inches, and 39 inches. Is it right triangle?

Nov 28, 2016

$1521 = 1521$ Therefore this would be a right triangle.

#### Explanation:

If it is a right triangle, then is we substitute the values of the legs of the triangle (15 and 36) and the value of the hypotenuse (39) into the Pythagoras theorem the value of each side of the equation will be equal.

The Pythagoras Theorem is: ${a}^{2} + {b}^{2} = {c}^{2}$

Substituting and doing the mathematics gives us:

${15}^{2} + {36}^{2} = {39}^{2}$

$225 + 1296 = 1521$

$1521 = 1521$ Therefore this would be a right triangle.