Question

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

Answer 1

`x=3√(2)\ units`

Explanation:

we know that

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

therefore

`cos(45\°)=(x)/(6)`

`cos(45\°)=(√(2))/(2)`

substitute

`(x)/(6)=(√(2))/(2)`

`x=6(√(2))/(2)\ units`

`x=3√(2)\ units`