An isosceles triangle PQR is such that ∠PRQ = 90^o. Point U is inside triangle PQR, such that UP =11, UQ=7 and UR=6.

Each of the legs PR and QR has length √(X/Y) where each of X and Y is a positive integer.

Find X and Y

Whoever created this problem didn't notice something I did just last year: some calculators try too hard to make irrational numbers into rational ones.

I even shared my discovery as a problem here
http://perplexus.info/show.php?pid=9848

Posted by Jer on 2016-06-11 12:11:39