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Omni-MATH / In rectangle PQRS, PS=6 and SR=3. Point U is on QR with QU=2. Point T is on PS with ∠TUR=90^(∘). What is the length of TR?

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problem

In rectangle PQRSPQRS, PS=6PS=6 and SR=3SR=3. Point UU is on QRQR with QU=2QU=2. Point TT is on PSPS with ∠TUR=90∘\angle TUR=90^{\circ}. What is the length of TRTR?
Plain-text mathematical notation (without MathML)
In rectangle PQRS, PS=6 and SR=3. Point U is on QR with QU=2. Point T is on PS with ∠TUR=90^(∘). What is the length of TR?
Original LaTeX notation
In rectangle $PQRS$, $PS=6$ and $SR=3$. Point $U$ is on $QR$ with $QU=2$. Point $T$ is on $PS$ with $\angle TUR=90^{\circ}$. What is the length of $TR$?

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