# My 200 followers problem!

Geometry Level 5

In $\Delta ABC$ ,

(1)$DE || BC$ such that $A - D - B , A - E - C$

(2)$JG || CA$ such that $B - J - C , B - G - A$

(3)$FI || AB$ such that $C - F - A , C - I - B$

$DE , IF , GJ$ are concurrent at $H$

Given that $[GDH] = 200 , [FHE] = 50 , [HIJ] = 450$ ,

Find $[ABC]$

$Details:$

$(i)$ : $[ABC]$ represents area of $\Delta ABC$

$(iii)$ : $A - D - B$ represents the betweeness property which means $D$ is between $A , B$

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