Example 4 - The lengths of two sides of a triangle are 6 and 8 cm

Example 4 - Chapter 6 Class 7 Triangle and its Properties - Part 2
Example 4 - Chapter 6 Class 7 Triangle and its Properties - Part 3

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Example 4 The lengths of two sides of a triangle are 6 cm and 8 cm. Between which two numbers can length of the third side fall? In a triangle, Sum of two sides > Third side Hence, 6 + 8 > Third side 14 > Third side ⇒ Third side < 14 Also, Third side + 6 > 8 Third side > 8 – 6 Third side > 2 And, Third side + 8 > 6 Third side > 6 − 8 Third side > − 2 Since third side will be positive So, this is always true ∴ We ignore this equation So, our equations are Third side > 2 Third side < 14 So, Third side is greater than 2 cm but less than 14 cm

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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