MathDB

<OPO' = 90^o wanted, externally tangent circles

Source: 1999 Swedish Mathematical Competition p2

April 2, 2021

right anglecirclesgeometry

Problem Statement

Circle

C

center

O

touches externally circle

C'

center

O'

. A line touches

C

at

A

and

C'

at

B

.

P

is the midpoint of

AB

. Show that

\angle OPO' = 90^o

.

Back to Problems View on AoPS