Answer: 
<u>Step-by-Step Explanation:</u>
Pythagorean Theorem is: a² + b² = c² , <em>where "c" is the hypotenuse</em>

Note: (15)² + (3√11)² = hypotenuse² → hypotenuse = 18

Note: 8² + 15² = hypotenuse² → hypotenuse = 17

Note: hypotenuse not needed for tan

Note: 2² + 6² = hypotenuse² → hypotenuse = 2√10
Can u send me a picture of the question instead please because i dont understand what ur trying to ask..
A blank root or a root of blank
The answer that I got was side WX = 12 inches
It says that WY is congruent to XY which means that they are the same. That means that XY is also 3m-4. It also says that the perimeter of the triangle is 76 inches.
With this information I set up an equation:
3m-4 + 3m-4 +m = 76
(The number on the right side is the perimeter given to us in the problem and the numbers on the left side are the 3 side lengths).
I combined like terms on the left side and ended up with:
7m-8=76
I added 8 to both sides of the equation and got 7m=84.
Finally I divided both sides by 7 and got m=12
m is equivalent to side WX..
Hope this helps!