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Omni-MATH / Let ABCD be a quadrilateral, and let E,F,G,H be the respective midpoints of AB,BC,CD,DA. If EG=12 and FH=15, what is the maximum possible area of ABCD?

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problem

Let ABCDA B C D be a quadrilateral, and let E,F,G,HE, F, G, H be the respective midpoints of AB,BC,CD,DAA B, B C, C D, D A. If EG=12E G=12 and FH=15F H=15, what is the maximum possible area of ABCDA B C D?
Plain-text mathematical notation (without MathML)
Let ABCD be a quadrilateral, and let E,F,G,H be the respective midpoints of AB,BC,CD,DA. If EG=12 and FH=15, what is the maximum possible area of ABCD?
Original LaTeX notation
Let $A B C D$ be a quadrilateral, and let $E, F, G, H$ be the respective midpoints of $A B, B C, C D, D A$. If $E G=12$ and $F H=15$, what is the maximum possible area of $A B C D$?

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Source and history

task_id
a8e6d96a-3e5a-58f3-8008-a80284bc7138
task_key
test--a8e6d96a-3e5a-58f3-8008-a80284bc7138
task_revision_id
1
config / split
/ test

Official source

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