# How do you use the Pythagorean Theorem to determine if the three numbers could be the measures of the sides of a right triangle: 3, 7, √50?

May 20, 2018

Well...

Pythagorean Theorem is that

For any right-angled triangle...

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

Where

$a$ is base

$b$ is perpendicular(I'm not sure if the name is correct)

$c$ is hypotenuse.. the largest of them all

In this question.. the largest number is ofcourse $\sqrt{50}$ as ${7}^{2} = 49$ and $49 < 50$

So.. if those are right for a triangle... this should not be weird...

${3}^{2} + {7}^{2} = {\sqrt{50}}^{2}$

$9 + 49 = 50$

$58 \ne 50$

So the triangle can't be made :(