googly from ATGS 7

in an isoceles right angled triangle ABC.......
given, BM2+CN2=MN2

find angle MAN....ans- 45°

also try for scalene rt angled triangle.....

5 Answers

21
eragon24 _Retired ·

ahh.......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]

1
injun joe ·

Brilliant???

49
Subhomoy Bakshi ·

no idea......was given by one of the boys of cl 10 to solve.....

1
Satyaki Dutta ·

It 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

49
Subhomoy Bakshi ·

!

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