MathDB

SMT 2019 Geometry #10

Source:

August 8, 2023

geometry

Problem Statement

Let

ABC

be an acute triangle with

BC = 48

. Let

M

be the midpoint of

BC

, and let

D

and

E

be the feet of the altitudes drawn from

B

and

C

to

AC

and

AB

respectively. Let

P

be the intersection between the line through

A

parallel to

BC

and line

DE

. If

AP = 10

, compute the length of

PM

,

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