MathDB

Geometry

Source: 2002 National High School Mathematics League, Exam Two, Problem 1

March 16, 2020

geometry

Problem Statement

\triangle ABC

\angle A = 60^{\circ}

AB>AC

O

is the circumcenter and

H

is the intersection point of two heights

BE

and

CF

. Points

M

and

N

lie on segments

BH

and

HF

respectively, and

BM=CN

. Find the value of

\frac{MH+NH}{OH}