Question

What is the value of X?

Answer 1

Answer: x = 2√381

Explanation:

Call A the dotted line.

Using the Pythagorean theorem, we find that
`A^(2) + 16^(2)`
`= 22^(2)`

Simplifying gives:

`A = √(16^2 + 22^2)\\A = √(740)\\A = 2√(185)`

Now we move to the other triangle we can call the sides: a, the dotted side, b the height, and x, the hypotenuse.

`a = 2√(185)`

and

`b = 44-16 = 28`

So,

`(2√(185))^(2) + 28^2 = x^2\\x = \sqrt{(2√(185))^2 +28^2 }\\x = √(740+784)\\x= √(1524)\\x= 2√(381)`