MathDB

ASU 138 All Soviet Union MO 1970 distance equals inradius

Source:

June 24, 2019

geometryincircleinradius

Problem Statement

Given triangle

ABC

, midpoint

M

of the side

[BC]

, the centre

O

of the inscribed circle. The line

(MO)

crosses the height

AH

in the point

E

. Prove that the distance

|AE|

equals the inscribed circle radius.