Request a call back

Join NOW to get access to exclusive study material for best results

CBSE Class 9 Answered

Prove that the line drawn through the mid point of one side of a triangle, parallel to another side, intersects the third side at its mid point.
Asked by Topperlearning User | 11 Aug, 2017, 12:00: PM
answered-by-expert Expert Answer
ABC is a triangle;
D is the mid point of AB.
To prove that E is the mid point of AC.
Let F be the mid point of the side AC and not the point E.
Join DF
In ABC, D is the mid point of AB and DE  BC
F is the mid point of AC,
by mid point theorem,
DF  BC, also DE  BC
Thus two intersecting lines DE and DF are parallel to the same line BC
This is not possible.
So F can not be the mid point of AC.
Hence, E is the mid point of AC.
Answered by | 11 Aug, 2017, 02:00: PM
CBSE 9 - Maths
Asked by vineetyadav77050 | 25 Jul, 2021, 05:45: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Rayeesa | 04 Jun, 2018, 09:58: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 12:01: PM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 11:59: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 11:52: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
CBSE 9 - Maths
Asked by Topperlearning User | 11 Aug, 2017, 11:59: AM
ANSWERED BY EXPERT ANSWERED BY EXPERT
Get Latest Study Material for Academic year 24-25 Click here
×