Question

solve for x. leave the answer in simplest radical form

Answer 1

Answer:

$\sqrt{120}$

Step-by-step explanation:

These are right triangles, remember Pythagoras theorem?

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

"a" and "b" refer to the legs of the triangle, and "c" is the longest side, the one opposite to the right angle, the hypotenuse.

So, we need to find one leg, and we have a side and a hypotenuse.

Replace the values in the equation:

$9^{2} +b^{2} =10^{2}$

Simplify:

$36+b^{2} =100$

Take the 36 to the other side:

$b^{2} =36+100$

Simplify:

$b^{2} = 136$

To get rid of the square on the other side, put radicals on each side:

$\sqrt{b^{2} }=\sqrt{136}$

Simplify, the square and radical on the left cancel out:

$b=\sqrt{136}$

So that's the line in the center, not x, to find x, do the same.

x = $\sqrt{120}$

:)