Question

please help me thanks if you do :') it would also be awesome if you could explain but its ok if you can't i guess. Find x

Answer 1

Answer:

$x=4\sqrt{2}\ units$

Step-by-step explanation:

Theorem: In the right triangle the leg is the geometric mean of the hypotenuse and the segment of the hypotenuse adjacent to the leg.

Based on the theorem above,

$x^2=2\cdot (2+6)\\ \\x^2=4\cdot 8\\ \\x^2=32\\ \\x=\sqrt{32}\ units\\ \\x=4\sqrt{2}\ units$