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Omni-MATH / Point P is inside a square ABCD such that ∠APB=135^(∘),PC=12, and PD=15. Compute the area of this square.

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problem

Point PP is inside a square ABCDA B C D such that ∠APB=135∘,PC=12\angle A P B=135^{\circ}, P C=12, and PD=15P D=15. Compute the area of this square.
Plain-text mathematical notation (without MathML)
Point P is inside a square ABCD such that ∠APB=135^(∘),PC=12, and PD=15. Compute the area of this square.
Original LaTeX notation
Point $P$ is inside a square $A B C D$ such that $\angle A P B=135^{\circ}, P C=12$, and $P D=15$. Compute the area of this square.

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