Ex 6.2, 8 - Chapter 6 Class 10 Triangles
Last updated at Dec. 13, 2024 by Teachoo
Last updated at Dec. 13, 2024 by Teachoo
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
About the Author
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 and Computer Science at Teachoo