Geometry

[Guest kookygoblin]

Hi Everyone!!!

Ijust joined this forum.I came across this problem and dont how to solve it.

Let ABC be a triangle in which AB=AC and Angle CAB=90.Suppose M and N are points on the hypotenuse such that BM^2 + CN^2 = MN^2.Prove that angle MAN=45.

[paganinio]

use a better/more accurate title next time instead of 'geometry'

i've done the picture, i use D,E instead of M,N, just the same