# A triangle has sides with lengths of 48 meters, 59 meters, and 76 meters. Is it a right triangle?

Nov 29, 2016

#### Answer:

$5785 \ne 5776$ therefore this is not a right triangle.

#### Explanation:

If this triangle is a right triangle then when we put the legs of the triangle (48 and 59) and the hypotenuse of the triangle (76) into the Pythagorean Theorem the two sides of the equation will be equal. If the two sides of the equation are not equal then this is not a right triangle.

The Pythagorean Theorem states:

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

Substituting and calculating gives:

${48}^{2} + {59}^{2} = {76}^{2}$

$2304 + 3481 = 5776$

$5785 \ne 5776$ therefore this is not a right triangle.