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Find the area of the triangle whose ver...

Find the area of the triangle whose vertices are
(i) `(2, 3), (–1, 0), (2, – 4)`
(ii) `(–5, –1), (3, –5), (5, 2)`

Text Solution

AI Generated Solution

To find the area of the triangles given their vertices, we can use the formula for the area of a triangle with vertices at coordinates \((x_1, y_1)\), \((x_2, y_2)\), and \((x_3, y_3)\): \[ \text{Area} = \frac{1}{2} \left| x_1(y_2 - y_3) + x_2(y_3 - y_1) + x_3(y_1 - y_2) \right| \] ### Part (i): Vertices \((2, 3)\), \((-1, 0)\), \((2, -4)\) ...
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