Coordinate Geometry - Distance and Section Formula - Problems on Triangles - Case Studies
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Q. If point C divides the segment AB in the ratio 2:3, where A(1, 2) and B(6, 8), what are the coordinates of point C?
Q. If triangle ABC has vertices A(1, 1), B(4, 5), and C(7, 2), what is the length of side AB?
Q. What is the area of a triangle with vertices at (0, 0), (b, 0), and (b/2, h)?
Q. What is the area of triangle formed by the points (0, 0), (4, 0), and (0, 3)?
Q. What is the length of the diagonal of a rectangle with vertices at (0, 0), (a, 0), (a, b), and (0, b)?
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