Ex 6.2, 8 - Prove that line joining mid-points of any two - Ex 6.2

Ex 6.2, 8 - Chapter 6 Class 10 Triangles - Part 2

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Ex 6.2, 8 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). Given: Let us assume Δ ABC Where D is the mid point of AB & E is the mid point of AC To prove: DE II BC Proof: In Δ ABC , D is the mid-point of AB ⇒ AD = DB ⇒ 𝐴𝐷/𝐷𝐵= 1 From (1) & (2) 𝐴𝐷/𝐷𝐵=𝐴𝐸/𝐸𝐶 ∴ DE II BC Hence proved

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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.