In a parallelogram ABCD, the midpoints of sides BC and AD are E and F, respectively. A line is drawn from A that intersects EF at G and BC at H. If the areas of triangles AFG and EGH are 10 and 3, respectively, what is the area of triangle CDH?

**Problem 1537**

Midpoints and straight lines,

Parallelogram mystery,

Solve for missing piece.

If you're interested in finding more poems with a focus on geometry, you may enjoy this collection: More geometry thematic poems.

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