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=(4)/(x)`

Using the cross-product method, we get

`x=(4)/(\cos 45^o)`
`\text{Use }\cos 45^o=\frac{1}{\sqrt[]{2}}`

`x=\frac{4}{\frac{1}{\sqrt[]{2}}}=4*\frac{\sqrt[]{2}}{1}=4\sqrt[]{2}`

The length of x is

`4\sqrt[]{2}`

Option A is correct.