Q. 54.3( 3 Votes )
Find the equation of the side BC of the triangle ABC whose vertices are A (-1, -2), B (0, 1) and C (2, 0) respectively. Also, find the equation of the median through A (-1, - 2).
Answer :
Given: The vertices of triangle ABC are A (-1, -2), B(0, 1) and C(2, 0).
Concept Used:
The equation of the line passing through the two points ( x1, y1) and ( x2, y2)
To find:
Equation of side BC of triangle ABC.
The equation of median through A.
Explanation:
So, the equation of BC is
Formula used: 
⇒ 
⇒ x + 2y – 2 = 0
Let D be the midpoint of median AD is
So, 
So, the equation of the median AD is
Formula used: 
⇒ 4y + 8 = 5x + 5
⇒ 5x – 4y – 3 = 0
The equation of line BC is x + 2y – 2 = 0
Hence, the equation of median is 5x – 4y – 3 = 0
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