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Triangle area from a dot product

High school · ●●○○○ 20 pts

In triangle ABCABC, AB=1AB=1, BC=3BC=3, and AB→⋅BC→=−1\overrightarrow{AB}\cdot\overrightarrow{BC}=-1. Find the area of triangle ABCABC. Round to two decimal places.

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triangle areatrigonometric identities