Question

Please show your work. Find XY

Answer 1

XY = 17.

Because YW is a perpendicular bisector, we can say that TW and WZ are both equal to 3. It tells us that XZ is 12, so that means that XW must be 12+3 which equals 15.

It also tells us that YW is 8. So we can use the Pythagorean Theorem to find the hypotenuse of Triangle XWY. Thus,
`15^(2) + 8^(2) = XY^(2)`

To solve this equation, square and add both of the terms on the right like this:

`289 = XY^(2)`

And then take the square root of both sides. Your final answer should be:
XY = 17.