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Omni-MATH / Let ABCD be a square of side length 5, and let E be the midpoint of side AB. Let P and Q be the feet of perpendiculars from B and D to CE, respectively, and let R be the foot of th…

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problem

Let ABCDA B C D be a square of side length 5, and let EE be the midpoint of side ABA B. Let PP and QQ be the feet of perpendiculars from BB and DD to CEC E, respectively, and let RR be the foot of the perpendicular from AA to DQD Q. The segments CE,BP,DQC E, B P, D Q, and ARA R partition ABCDA B C D into five regions. What is the median of the areas of these five regions?
Plain-text mathematical notation (without MathML)
Let ABCD be a square of side length 5, and let E be the midpoint of side AB. Let P and Q be the feet of perpendiculars from B and D to CE, respectively, and let R be the foot of the perpendicular from A to DQ. The segments CE,BP,DQ, and AR partition ABCD into five regions. What is the median of the areas of these five regions?
Original LaTeX notation
Let $A B C D$ be a square of side length 5, and let $E$ be the midpoint of side $A B$. Let $P$ and $Q$ be the feet of perpendiculars from $B$ and $D$ to $C E$, respectively, and let $R$ be the foot of the perpendicular from $A$ to $D Q$. The segments $C E, B P, D Q$, and $A R$ partition $A B C D$ into five regions. What is the median of the areas of these five regions?

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task_id
3b526538-fa65-56f7-9af9-d6e8fe41503d
task_key
test--3b526538-fa65-56f7-9af9-d6e8fe41503d
task_revision_id
1
config / split
/ test

Official source

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