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Omni-MATH / In triangle ABC with altitude AD,∠BAC=45^(∘),DB=3, and CD=2. Find the area of triangle ABC.

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problem

In triangle ABCA B C with altitude AD,∠BAC=45∘,DB=3A D, \angle B A C=45^{\circ}, D B=3, and CD=2C D=2. Find the area of triangle ABCA B C.
Plain-text mathematical notation (without MathML)
In triangle ABC with altitude AD,∠BAC=45^(∘),DB=3, and CD=2. Find the area of triangle ABC.
Original LaTeX notation
In triangle $A B C$ with altitude $A D, \angle B A C=45^{\circ}, D B=3$, and $C D=2$. Find the area of triangle $A B C$.

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