MathDB

Prove an angle

Source: 0

October 27, 2005

trigonometrygeometry

Problem Statement

Let

ABC

be a triangle in which

AB =AC

and

\angle CAB = 90^{\circ}

. Suppose that

M

and

N

are points on the hypotenuse

BC

such that

BM^2 + CN^2 = MN^2

. Prove that

\angle MAN = 45^{\circ}