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Omni-MATH / Square PQRS has an area of 900. M is the midpoint of PQ and N is the midpoint of PS. What is the area of triangle PMN?

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problem

Square PQRSP Q R S has an area of 900. MM is the midpoint of PQP Q and NN is the midpoint of PSP S. What is the area of triangle PMNP M N?
Plain-text mathematical notation (without MathML)
Square PQRS has an area of 900. M is the midpoint of PQ and N is the midpoint of PS. What is the area of triangle PMN?
Original LaTeX notation
Square $P Q R S$ has an area of 900. $M$ is the midpoint of $P Q$ and $N$ is the midpoint of $P S$. What is the area of triangle $P M N$?

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Source and history

task_id
eca0e24d-b93d-56c8-b8b7-fbb1a5d04aa7
task_key
test--eca0e24d-b93d-56c8-b8b7-fbb1a5d04aa7
task_revision_id
1
config / split
/ test

Official source

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