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Find the area of Triangle BDF

Source: MTRP 2015 Class 11-Multiple Choice Question: Problem 6 :-

September 21, 2020

geometry

Problem Statement

Let

A C

and

C E

be perpendicular line segments, each of length

18 .

Suppose

B

and

D

are the midpoints of

A C

and

C E

respectively. If

F

be the point of intersection of

E B

and

A D,

then the area of

\triangle B D F

is?
[*]

27\sqrt{2}

[*]

18\sqrt{2}

[*] 13.5 [*] 18