## In parallelogram $$ABCD,$$ point $$E$$ is the midpoint of side $$AD$$ and point $$F$$ is the midpoint of side $$CD.$$ If

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### In parallelogram $$ABCD,$$ point $$E$$ is the midpoint of side $$AD$$ and point $$F$$ is the midpoint of side $$CD.$$ If

by Gmat_mission » Sun Sep 12, 2021 8:29 am

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In parallelogram $$ABCD,$$ point $$E$$ is the midpoint of side $$AD$$ and point $$F$$ is the midpoint of side $$CD.$$ If point $$G$$ is the midpoint of line segment $$ED$$ and point $$H$$ is the midpoint of line segment $$DF,$$ what is the area of triangle $$DGH?$$

(1) Parallelogram $$ABCD$$ has an area of $$96.$$
(2) The parallelogram has sides of lengths $$8$$ and $$12.$$