# Is the information sufficient 3?

Geometry Level 4

Given that:

• $$\overline{AD}$$ is the median of $$\triangle \text{ABC}$$
• $$E$$ and $$F$$ are 2 points on $$\overline{AD}$$ such that, $$\overline{AE} : \overline{EF} : \overline{FD} = 4: 3: 1$$
• When $$\overline{BE}$$ and $$\overline{BF}$$ are extended going to $$\overline{AC}$$, it will intersect $$\overline{AC}$$ at points $$G$$ and $$H$$ respectively.

If the Area of $$\triangle \text{HDC}$$ is $$224 \ \text{sq. units }$$ , then what is the area of $$\triangle \text{ABC}$$?

Don't mind the lower case letters, just mind the bigger case letters.

For more problems like this, try answering this set .

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