MathDB

2017 Geometry #9

Source:

November 19, 2022

2017Geometry Test

Problem Statement

Triangle

ABC

is isosceles with

AC=BC=25

and

AB=10

. Let

O

be the orthocenter of

\triangle ABC

, the intersection of the three altitudes of

\triangle ABC

. Reflect

O

across

AB

to a point

D

, and extend

CB

and

AD

to intersect at point

E

. Compute the area of

\triangle ABE

.

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