MathDB

Canada MO 2021 P1

Source:

March 12, 2021

geometry

Problem Statement

Let

ABCD

be a trapezoid with

AB

parallel to

CD

,

|AB|>|CD|

, and equal edges

|AD|=|BC|

. Let

I

be the center of the circle tangent to lines

AB

,

AC

and

BD

, where

A

and

I

are on opposite sides of

BD

. Let

J

be the center of the circle tangent to lines

CD

,

AC

and

BD

, where

D

and

J

are on opposite sides of

AC

. Prove that

|IC|=|JB|

.

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