MathDB

2019 Geometry # 3

Source:

September 10, 2023

geometry2019

Problem Statement

Consider an equilateral triangle

\vartriangle ABC

with side length

1

. Let

D

and

E

lie on segments

AB

and

\vartriangle ADE

respectively such that

\angle ADE = 30^o

and

DE

is tangent to the incircle of

\vartriangle ABC

. Compute the perimeter of

\vartriangle ADE

.

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