InterviewSolution
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InterviewSolution
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Let A(4,2), B(6,5) and C(1,4) be the vertices of Delta ABC (1) The median from A meets BC at D. Find the coordinates of the points D. (2) Find the coordinates of the points P on AD such that AP : PD = 2 : 1 (3)Find the coordinates ofpoints Q and R on medians BE and CF respectively such that BQ : QE = 2 : 1 and CR : RE = 2 : 1 (4) What do you observe ? [Note : The point which is common to all the three medians is called the centroid and this point divides each median in the ratio 2 : 1 ] (5)If A(x_(1), y_(1)), B(x_(2), y_(2)) and C(x_(3),y_(3)) are the vertices of Delta ABC find the coordinates of the centroid of the triangle |
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Answer» (2) `((11)/(3),(11)/(3))` (3)`(5,(7)/(2))` (4) P = Q = R Centroid of a triangle DIVIDES each of its medians in the RATIO2 : 1 from the VERTEX side (5) `((x_(1) + x_(2) + x_(3))/(3) , (y_(1) + y_(2) + y_(3))/(3))` |
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