MathDB

2018 General #8

Source:

November 12, 2018

geometrycircumcircle

Problem Statement

Equilateral triangle

ABC

has circumcircle

\Omega

. Points

D

and

E

are chosen on minor arcs

AB

and

AC

of

\Omega

respectively such that

BC=DE

. Given that triangle

ABE

has area

3

and triangle

ACD

has area

4

, find the area of triangle

ABC

.

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