# A triangle has sides with lengths of 20 millimeters, 24 millimeters, and 29 millimeters. Is it a right triangle?

Nov 28, 2016

No

#### Explanation:

$\left\{\begin{matrix}a = \text{20 mm" \\ b= "24 mm" \\ c= "29 mm}\end{matrix}\right.$

Use the Pythagorean Theorem:

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

Plug in the values

${20}^{2} + {24}^{2} = {29}^{2}$

$400 + 576 \ne 841$

because

$400 + 576 = 976$

Thus, it is not a right triangle.