# How do you solve for x given a right triangle with leg = x, leg: 7 inches, hypotenuse: (x+1) inches?

Sep 4, 2016

$x = 24$

#### Explanation:

By pythagorean theorem:

${x}^{2} + {7}^{2} = {\left(x + 1\right)}^{2}$

${x}^{2} + 49 = {x}^{2} + 2 x + 1$

$49 - 1 = 2 x$

$x = 24$

Hopefully this helps!