MathDB

Geometry

Source:

January 30, 2016

geometry

Problem Statement

Let

ABC

be an equilateral triangle with side lenght is

1

cm

.Let

D \in [AB]

is a point. Perpendiculars from

D

to

[AC]

and

[BC]

intersects with

[AC]

and

[BC]

at points

E

and

F

respectively. Perpendiculars from

E

and

F

to

[E_1F_1]=\frac{3}{4}

intersects with

[AB]

at points

E_1

and

F_1

. Prove that

[E_1F_1]=\frac{3}{4}

Back to Problems View on AoPS