If p(-1,3), q(1,-1) and r (5,1) are the vertices of a triangle pqr, then find the length of the median through the vertex p
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length of median through the vertex p is ps = 5 unit
If p(-1,3), q(1,-1) and r (5,1) are the vertices of a triangle pqr, we have to find the length of the median through the vertex p.
first find midpoint of qr,
i.e., midpoint of qr = s = [(1 + 5)/2 , (-1 +1)/2] = (3, 0)
now ps is the median through the vertex P.
using distance formula,
length of median, ps = √{(-1-3)² + (3 - 0)²}
= √{(-4)² + (3)²}
= √(16 + 9)
= 5 unit.
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