Question

I just need the answer you dont have to deeply explainA. 4 to the square root of 2B. 3 to the square root of 2C. 2 to the square root of 2 D 8

Answer 1

Given:

Hypotenuse=x, Adjacent side=4, and angle is 45 degrees.

Consider the cos formula.

$\cos \theta=\frac{\text{Adjacent side}}{\text{hypotenuse}}$$\text{ Substitute hypotenuse= x, adjacent side =4, and }\theta=45^o,\text{ we get}$$\cos 45^o=\frac{4}{x}$

Using the cross-product method, we get

$x=\frac{4}{\cos 45^o}$$\text{Use }\cos 45^o=\frac{1}{\sqrt[]{2}}$

$x=\frac{4}{\frac{1}{\sqrt[]{2}}}=4\times\frac{\sqrt[]{2}}{1}=4\sqrt[]{2}$

The length of x is

$4\sqrt[]{2}$

Option A is correct.