Coordinate Geometry - Distance and Section Formula - Problems on Triangles
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Q. Find the coordinates of the point that divides the segment joining (1, 2) and (5, 6) in the ratio 2:1.
Q. Find the coordinates of the point that divides the segment joining (2, 3) and (8, 7) in the ratio 1:3.
Q. If point A(2, 3) and point B(8, 7) are the endpoints of a line segment, what is the midpoint M of AB?
Q. If point D(3, 4) is the midpoint of segment AB where A(1, 2) and B(x, y), what are the coordinates of B?
Q. If triangle ABC has vertices A(1, 2), B(4, 6), and C(1, 6), what is the length of side AB?
Q. What is the area of triangle formed by points A(0, 0), B(4, 0), and C(4, 3)?
Q. What is the distance between the points (5, 5) and (5, 1)?
Q. What is the midpoint of the line segment joining the points (4, 5) and (10, 15)?
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