Q14 of 34 Page 1

The vertices of a triangle are A (-1, 3), B (1, -1) and C (5, 1). Find the length of the median through the vertex C.


Given, coordinates of vertices A(-1, 3) B(1, -1) and C(5, 1)


Let the median through the vertex C is CM, where M is the mid-point of AB. [As median bisects the base of a triangle]


To find : length of CM


Also, mid-point of a line joining coordinates A(x1, y1) and B(x2, y2) are



∴ Coordinates of M


⇒ M = (0, 1)


By using distance formula, distance between two points (x1, y1) and (x2, y2) is


d = √(x2 - x1)2 + (y2 - y1)2


As, C = (5, 1) and M = (0, 1)


CM = √(5 - 0)2 + (1 - 1)2


⇒ CM = √(5)2


⇒ CM = 5 units


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