Question

Find the value of X, please help me!!

Answer 1

Answer:

$\sqrt{33}$

Step-by-step explanation:

Use the Pythagorean Theorem For the Triangle with Sides 11, 13, and Height(blue dashed line)

b=height (blue-dashed line)

$11^2+b^2=13^2$

$169-121=b^2$

$48=b^2$

$\sqrt{48} =b$

Use the Pythagorean Theorem Again for sides 9, x, and height which is $\sqrt{48}$

$x^2+\sqrt{48}^2=9^2$

($\sqrt{48}^{2}$ is $48$

$81-48=x^2$

$33=x^2$

$x=\sqrt{33}$

Hope it Helps!