Ex 6.4, 3 - Chapter 6 Class 7 Triangle and its Properties

Last updated at Dec. 16, 2024 by

Ex 6.4, 3 - AM is a median of a triangle ABC. Is AB + BC + CA > 2 AM

Ex 6.4, 3 - Chapter 6 Class 7 Triangle and its Properties - Part 2

Go Ad-free

Transcript

Ex 6.4, 3 AM is a median of a triangle ABC. Is AB + BC + CA > 2 AM? (Consider the sides of triangles ∆ABM and ∆AMC.)In ∆AMB, Sum of two sides > third side AB + BM > AM In ∆AMC, Sum of two sides > third side CA + CM > AM Adding (1) + (2) AB + BM + CA + CM > AM + AM AB + (BM + CM) + CA > 2 AM AB + BC + CA > 2 AM Hence proved

Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

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