Question

What is the value of x in the figure below? Leave answer in simplest radical form.

Answer 1

Answer:

$x=3\sqrt{2}\ units$

Step-by-step explanation:

we know that

The triangle of the figure is a 45°-90°-45°

therefore

$cos(45\°)=\frac{x}{6}$

$cos(45\°)=\frac{\sqrt{2}}{2}$

substitute

$\frac{x}{6}=\frac{\sqrt{2}}{2}$

$x=6\frac{\sqrt{2}}{2}\ units$

$x=3\sqrt{2}\ units$