# Using the Pythagorean Theorem, could 20, 6 and 21 be the measures of the sides of a right triangle? Assume that the largest is the hypotenuse.

Nov 15, 2015

No

#### Explanation:

By the pythagorean theoren,

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

=> 21^2 ? 6^2 + 20^2

=> 441 ? 36 + 400

$\implies 441 \ne 436$

Also, there is no need to assume that the hypotenuse is the longest side of a triangle. This is always true