Q. 74.0( 4 Votes )
Find the lengths of the medians AD and BE of ΔABC whose vertices are A(7, -3), B(5, 3) and C(3, -1).
A median of a triangle is a line segment joining a vertex to the midpoint of the opposing side, bisecting it.
Mid-point of side BC opposite to vertex A i.e. coordinates of point D is given by-
Mid-point of side AC opposite to vertex B i.e. coordinates of point E is given by-
Length of Median AD is given by-
= √(9 + 16)
= 5 units
Length of Median BE is given by-
= √(0 + 52 )
= 5 units
Thus, Length of Medians AD and BE are same which is equal to 5 units.
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