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If A(-2,1),B(2,3) and C(-2,-4) be the ve...

If A(-2,1),B(2,3) and C(-2,-4) be the vertices of a `triangle ABC`, show that `tan B=(2)/(3)`

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To show that \( \tan B = \frac{2}{3} \) for triangle ABC with vertices A(-2,1), B(2,3), and C(-2,-4), we will follow these steps: ### Step 1: Find the slopes of lines AB and BC 1. **Calculate the slope of line AB:** - The coordinates of A are (-2, 1) and B are (2, 3). - The formula for the slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is: \[ ...
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