Question

use the diagram tl answer the question

Answer 1

first, we have to find y, to have the 2 legs in the triangle in red

$y^2=8^2+12^2$$\begin{gathered} y=\sqrt[]{8^2+12^2} \\ y=\sqrt[]{64+144} \\ y=\sqrt[]{208} \\ y=4\sqrt[]{13} \end{gathered}$

Now with the leg of the red triangle, we can find x

$\begin{gathered} x^2=18^2+(4\sqrt[]{13})^2 \\ x=\sqrt[]{324+208} \\ x=\sqrt[]{532} \\ x=2\sqrt[]{133} \end{gathered}$

the answer is D. x=2(root 133)