Derive section formula
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Section formula can be derived by constructing two right triangles and by using AA similarity. We find the ratio of the length of the sides of the triangle in terms of the given ratios, and then, on solving for x, and y, we can find the coordinates of the point that is dividing the line segment.
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The coordinates of the point A(x, y) which divides the line segment joining the points P(x1, y1) and Q(x^2, y^2) internally in the ratio m1 : m2 are given by the formula: P(x, y) = (m1x^2+m^2x1m1+m^2,m1y^2+m^2y1m1+m^2)
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