in an isoceles right angled triangle ABC.......
given, BM2+CN2=MN2
find angle MAN....ans- 45°
also try for scalene rt angled triangle.....
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5 Answers
21ahh.......this q actually came in brillants full test........am i right shubhomoy....i know the soln....but i wont write it here...bec i had already seen it and i wasnt able to do it in the exam[2][3]
hint for others--construct a circle passing through points M ,A and N and then proceed..[1]
49no idea......was given by one of the boys of cl 10 to solve.....
1It came in RMO 2003. I remembered a solution by easy construction but doesn't seem to remember it now. Anyways you can check out more difficult solution at http://www.mathlinks.ro/viewtopic.php?p=356527#356527