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TOT 390 1993 Autumn O S2 <MCN =45^o , BC = BM, AC = AN, right triangle

Source:

June 12, 2024

geometryanglesright triangle

Problem Statement

Points

M

and

N

are taken on the hypotenuse

AB

of a right triangle

ABC

so that

BC = BM

and

AC = AN

. Prove that the angle

MCN

is equal to

45

degrees.
(Folklore)