Question

Find x. Multiple choice answers are below!

Answer 1

Answer:

$4\sqrt{6}$

Step-by-step explanation:

To find x, we can use the Pythagorean Theorem. As this triangle is made up of 2 right triangles. As the length of both right triangles is 10, the length of one will be 5.

Now that we have 2 sides of the right triangle, we can use the Pythagorean Theorem to solve for x

$11^{2} -5^{2} =x^{2} \\\\121-25=x^2\\\\x=\sqrt{96}$

Lastly, we can simplify this radical to

$\sqrt{96} \\\\4\sqrt{6}$