Question

HELP PLEASE !!!! Pythagorean theorem

Answer 1

Answer:

$\large\boxed{x=2\sqrt{34}}$

Step-by-step explanation:

The Pythagorean theorem:

$leg^2+leg^2=hypotenuse^2$

We have

$leg=10,\ leg=6,\ hypotenuse=x$

Substitute:

$x^2=10^2+6^2\\\\x^2=100+36\\\\x^2=136\to x=\sqrt{136}\\\\x=\sqrt{(4)(34)}\\\\x=\sqrt4\cdot\sqrt{34}\\\\\boxed{x=2\sqrt{34}}$