# Abtriangle has sides with lengths of 19 feet, 26 feet, and 29 feet. Is it a right triangle?

Dec 1, 2016

$1037 \ne 841$ Therefore this is not a right triangle.

#### Explanation:

To determine if this is a right triangle you need to substitute the two legs of the triangle (19 and 26) and the hypotenuse (29) into the Pythagorean Theorem and see if both sides of the equation are equal. If they are it is a right triangle. If they are not equal this is not a right triangle.

The Pythagorean Theorem states:

${a}^{2} + {b}^{2} = {c}^{2}$

Substituting gives:

${19}^{2} + {26}^{2} = {29}^{2}$

Calculating gives:

$361 + 676 = 841$

$1037 \ne 841$