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In right triangle XOY with the right angle at O, let M and N be the midpoints of the legs OX and OY respectively. Given XN = 19 and YM = 22, find the length of XY.
- 24
- 26
- 28
- 34
Correct answer: 26
Solution
Express the two medians-to-the-legs in coordinates, add to find a² + b², then XY = 2*sqrt(a² + b²).
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