Does there exist an equilateral triangle with sides 50, 50, 50? - Figure it out - Page 159

part 2 - Question 2 - Figure it out - Page 159 - Chapter 7 Class 7 - A tale of three Intersecting Lines (Ganit Prakash) - Class 7 (Ganita Prakash 1, 2 & old NCERT)

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Question 2 Does there exist an equilateral triangle with sides 50, 50, 50? In general, does there exist an equilateral triangle of any sidelength? Justify your answer Let’s use our Triangle Inequality for this Here, Sum of smaller two sides = 50 + 50 = 100 And, Largest side = 50 Now, 100 > 50 This satisfies triangle inequality ∴ Triangle exists

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 15 years. He provides courses for Maths, Science and Computer Science at Teachoo