Question

Please help me find the value of x the answer must be exact

Answer 1

`x=11`

Explanation:

This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

`leg=x\\hypotenuse=x√(2)`

Therefore, the value of x is 11.

You can double-check using the sine ratio:

`sineX=(opposite)/(hypotenuse)`

Insert the values:

`sin45=(x)/(11√(2) )`

Insert the equation into a calculator:

`x=11`

:Done

*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.