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Hi, I am new here can someone answer my question- 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.

Posted by Aditya Shejal 5 years, 3 months ago

CBSE > Class 10 > Mathematics

1 answers

Gaurav Seth 5 years, 3 months ago

Given a ∆ABC such that D is the mid point of AB and DE || BC.

To Prove: AE = EC
Proof: AD = DB (given)

In ∆ABC, we have
DE || BC
Therefore, by using Basic proportionality theorem, we have

Comparing (i) and (ii), we get

2Thank You

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