What is the best way to solve the problem of exercise 6.2 of triangles chapter of math, how i solve this problem because it is very important Using theorem 6.2 , prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Recall that you have done it in Class IX).

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# Using theorem 6.2 , prove that the line joining the mid-points of any two sides of a triangle is parallel to the third side. (Recall that you have done it in Class IX). Q.8

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Given, in ΔABC, D and E are the mid points of AB and AC respectively, such that,

AD=BD and AE=EC.

We have to prove that: DE || BC.

Since, D is the midpoint of AB

∴ AD=DB

⇒AD/BD = 1………………………………..

(i)Also given, E is the mid-point of AC.

∴ AE=EC

⇒ AE/EC = 1

From equation

(i)and(ii), we get,AD/BD = AE/EC

By converse of Basic Proportionality Theorem,

DE || BC

Hence, proved.