The vertices of ΔPQR are P(2,1),Q(−2,3) and R(4,5). Find equation of the median through the vertex R.
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Solution
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Let L be the mid-point of PQ. Thus by mid-point formula, the coordinates of point L is given by, (2−22,1+32)=(0,2) Therefore, the equation of RL (median through vertex R) is given by, (y−5)=2−50−4(x−4) ⇒y−5=−3−4(x−4) ⇒4(y−5)=3(x−4) ⇒4y−20=3x−12 ⇒3x−4y+8=0
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