# SOLUTION: if the median to the hypotenuse of a right triangle measures 25 and a leg 14, find the measure of the other leg

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 Click here to see ALL problems on Geometry Word Problems Question 292544: if the median to the hypotenuse of a right triangle measures 25 and a leg 14, find the measure of the other legFound 2 solutions by Fombitz, Edwin McCravy:Answer by Fombitz(13828)   (Show Source): You can put this solution on YOUR website!Use the Pythagorean theorem, where A, B are the legs, H is the hypotenuse. Answer by Edwin McCravy(8909)   (Show Source): You can put this solution on YOUR website!The other tutor's answer is incorrect. Given triangle ACB is a right triangle and D is the midpoint of AB. CD = 25 Draw DE perpendicular to AC Triangle DEB is similar to triangle ACB. So since D is the midpoint of AB, DB=AB, So, DE=AC = (14) = 7. So we mark DE as having length 7: Next we use the Pythagorean theorem on right triangle DEC to find the length of CE: so we mark CE as 24: Since triangle DEB is similar to triangle ACB, and DB is half of AB, BE is half of BC, which makes BE = CE = 24. So we label BE as 24 also: So that makes the other leg BC = 24+24 = 48. Edwin