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# Solution - Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of ΔABC. (i) The median from A meets BC at D. Find the coordinates of point D. (ii) Find the coordinates of the point P on AD such that AP: PD = 2:1 - CBSE Class 10 - Mathematics

ConceptArea of a Triangle

#### Question

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

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

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

(iii) Find the coordinates of point 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?

(v) If A(x1y1), B(x2y2), and C(x3y3) are the vertices of ΔABC, find the coordinates of the centroid of the triangle.

#### Solution

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#### APPEARS IN

NCERT Mathematics Textbook for Class 10
Chapter 7: Coordinate Geometry
Q: 7 | Page no. 171

#### Reference Material

Solution for question: Let A (4, 2), B (6, 5) and C (1, 4) be the vertices of ΔABC. (i) The median from A meets BC at D. Find the coordinates of point D. (ii) Find the coordinates of the point P on AD such that AP: PD = 2:1 concept: Area of a Triangle. For the course CBSE
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