Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The co-ordinates of the mid-points of the sides of a triangle ABC are D(2, 1), E(5, 3) and
F(3, 7). Find the length and equation of side AB
A
2x – 3y + 15 = 0, 
B
2x + y – 5 = 0, 
C
6x – y – 27 = 0, 
D
2x – 3y + 15 = 0, 2 
Text Solution
Verified by ExpertsThe correct answer is:
B
Let coordinate of A is (a, b)
= 2 ⇒ 16 – 2a = 4 ⇒ a = 6
= 1 ⇒ 2b = 18 ⇒ b = 9
Hence A(6, 9), B(0, 5), c(4, – 3)
Length of sides AB = = 2 ; BC = = 4
AC = = = 2
and their equations are AB : 2x – 3y + 15 = 0
BC : 2x + y – 5 = 0
AC : 6x – y – 27 = 0
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The vertices of a triangle OBC are O(0,0) B(–3,–1) and C(–1,–3). Find the equation of line parallel…
A variable line, drawn through the point of intersection of the straight lines = 1 and = 1, meet…
From the vertices A, B, C of a triangle ABC, perpendiculars AD, BE, CF are drawn to any straight li…
A triangle is formed by the lines whose equations are AB : x + y – 5 = 0, BC : x + 7y – 7 = 0 and …
The coordinates of the feet of from the vertices of a Δ on the opposite sides are (20, 25), (8, 16…
Let P is any point inside the triangle ABC of side lengths 6, 5, 5 units and p 1 , p 2 , p 3 be the…