. Find k if the area of the triangle with vertices at A(k, 2), B(-2, 1), C(1,-3) is sq. units
Question
Solution 1
The area of a triangle with vertices at (x1, y1), (x2, y2), and (x3, y3) is given by the formula:
Area = 1/2 * |x1(y2 - y3) + x2(y3 - y1) + x3(y1 - y2)|
In this case, the vertices are A(k, 2), B(-2, 1), and C(1, -3). So, x1 = k, y1 = 2, x2 = -2, y2 = 1, x3 = 1, and y3 = -3.
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