1.

A (4, 2), B (6, 5) and C (1, 4) are the vertices of △ABC. (i) The median from A meets BC in D. Find the coordinates of the point D. (ii) Find the coordinates of point P on 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 RF = 2 :1. (iv) What do you observe?

Answer»

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

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

(ii) Find the coordinates of point P on 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 RF = 2 :1.

(iv) What do you observe?



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