MathDB

TOT 358 1993 Spring O J1 distance between 2 orthocenters

Source:

June 10, 2024

geometryorthocenter

Problem Statement

Let

M

be a point on the side

AB

of triangle

ABC

. The length

AB = c

and

\angle CMA=\phi

are given. Find the distance between the orthocentres (intersection points of altitudes) of the triangles

AMC

and

BMC

.
(IF Sharygin)