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7. Coordinate Geometry
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Q25 of 77 Page 7


Find the lengths of the sides of the triangle whose vertices are A(3, 4), B(2,-1) and C(4, -6).

√26, √29 and √101
SOLUTION:

AB

BC


AC

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If (-2, 3), (4, -3) and (4, 5) are the mid-points of the sides of a triangle,find the coordinates of its centroid.
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If the points (-1, 3), (1, -1) and (5, 1) are vertices of a triangle, find thelength of the median through third vertex.
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A line is of length 10 and one end is at the point (-3, 2). If the ordinate of theother end be 10, prove that the abscissa will be 3 or –9.
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Show that the points (-2, 6), (5, 3), (-1, -11) and (-8, -8) are the verticesof a rectangle.
Questions · 77
7. Coordinate Geometry
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