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Question
Find the area of the triangle whose vertices are: (2, 3), (-1, 0), (2, -4)
Solution
Area of a triangle is given by
Area of triangle = `1/2 {x_1 (y_2 - y_3)+ x_2 (y_3 - y_1)+ x_3 (y_1 - y_2)}`
Area of the given triangle = `1/2 [2 { 0- (-4)} + (-1) {(-4) - (3)} + 2 (3 - 0)]`
`= 1/2 {8 + 7 + 6}`
=`21/2` square units.
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22 cm | ______ | 170.5 cm2 |