Ex 6.2, 7
Using Theorem 6.1, prove that a line drawn through the mid-point of one side of a triangle parallel to another side bisects the third side. (Recall that you have proved it in Class IX).
Given: Let us assume ABC
Where DE is parallel to BC
& D is the mid point of AB
To prove: E is the mid point of AC
Proof:
In ABC , DE II BC
We know that if a line drawn parallel to one side of triangle,
intersects the other two sides in distinct points,
then it divides the other 2 side in same ratio
/ = /
/ = /
1 = /
EC = AE
E is the mid-point of AC
Hence proved

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

Hi, it looks like you're using AdBlock :(

Displaying ads are our only source of revenue. To help Teachoo create more content, and view the ad-free version of Teachooo... please purchase Teachoo Black subscription.

Please login to view more pages. It's free :)

Teachoo gives you a better experience when you're logged in. Please login :)

Solve all your doubts with Teachoo Black!

Teachoo answers all your questions if you are a Black user!