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computational geo with cyclic pentagon

Source: 2011 Saudi Arabia Pre-TST November 4.2

December 31, 2021

pentagonCyclicgeometry

Problem Statement

Pentagon

ABCDE

is inscribed in a circle. Distances from point

E

to lines

AB

,

BC

and

CD

are equal to

a, b

and

c

, respectively. Find the distance from point

E

to line

AD

.

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