MathDB

Turkey Junior Olympiad 1997, Part II - P2

Source:

January 18, 2013

symmetrygeometryPythagorean Theorempower of a point

Problem Statement

Let

ABC

be a triangle with

|AB|=|AC|=26

|BC|=20

. The altitudes of

\triangle ABC

from

A

and

B

cut the opposite sides at

D

and

E

, respectively. Calculate the radius of the circle passing through

D

and tangent to

AC

E