1.

A (4, 2), B(6, 5) and C (1, 4) are the vertices of ΔABC.(i) The median from A meets BC in D. Find the coordinates of the point D.(ii) Find the coordinates of point P and AD such that AP : PD = 2 : 1.(iii) Find the coordinates of the points Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1(iv) What do you observe?

Answer»

A (4, 2), B(6, 5) and C (1, 4) are the vertices of ΔABC.



(i) The median from A meets BC in D. Find the coordinates of the point D.



(ii) Find the coordinates of point P and AD such that AP : PD = 2 : 1.



(iii) Find the coordinates of the points Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RF = 2 : 1



(iv) What do you observe?



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