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 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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