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kiruha [24]
3 years ago
13

Please show your work. Find XY

Mathematics
1 answer:
Sidana [21]3 years ago
3 0
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. 
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