Q. 2 B3.5( 4 Votes )
Find the equations to the sides of the triangles the coordinates of whose angular points are respectively:
(0,1), (2, 0) and (-1, - 2)
Answer :
Given:
Points A (0, 1), B(2, 0) and C(-1, -2).
Assuming:
m1, m2 and m3 be the slope of the sides AB, BC and CA, respectively.
Concept Used:
The slope of the line passing through the two points ( x1, y1) and ( x2, y2).
The equation of the line passing through the two points ( x1, y1) and ( x2, y2).
To find:
The equation of sides of the triangle.
Explanation:
m1m2
, m3
m1, m2
and m3= 3
So, the equation of the sides AB, BC and CA are
Formula used: y – y1= m (x – x1)
,
and y + 2 = 3(x+1)
⇒ x + 2y = 2, 2x – 3y =4 and 3x – y +1 = 0
Hence, equation of sides are x + 2y = 2, 2x – 3y =4 and 3x – y +1 = 0
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