MathDB

computational inside a parallelogram, orthocenter related

Source: Singapore Open Math Olympiad 2001 2nd Round p1 SMO

April 2, 2020

geometryparallelogramorthocenterperpendicular

Problem Statement

In a parallelogram

ABCD

, the perpendiculars from

A

BC

and

CD

meet the line segments

BC

and

CD

at the points

E

and

F

respectively. Suppose

AC = 37

cm and

EF = 35

cm. Let

H

be the orthocentre of

\vartriangle AEF

. Find the length of

AH

in cm. Show the steps in your calculations.