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Is it possible to have a triangle with the following sides? (i) 2 cm, 3 cm, 5 cm (ii) 3 cm, 6 cm, 7 cm (iii) 6 cm, 3 cm, 2 cm

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NCERT Solutions for Class 7 Mathematics Chapter 6
Important NCERT Questions
Class vii Math Chapter 6 The Triangles and Its Properties Exercise 6.4
NCERT Books for Session 2022-2023
CBSE Board
Questions No: 1

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1 Answer

  1. Since, a triangle is possible whose sum of the lengths of any two sides would be greater than the length of third side.
    (i) 2cm, 3cm, 5cm
    2 + 3 > 5 No
    2 + 5 > 3 Yes
    3 + 5 > 2 Yes
    This triangle is not possible.

    (ii) 3 cm, 6 cm, 7 cm
    3 + 6 > 7 Yes
    6 + 7 > 3 Yes
    3 + 7 > 6 Yes
    This triangle is possible.

    (iii) 6 cm, 3 cm, 2 cm
    6 + 3 > 2 Yes
    6 + 2 > 3 Yes
    2 + 3 > 6 No
    This triangle is not possible.

    Class 7 Maths Chapter 6 Exercise 6.4

    for more answers vist to:
    https://www.tiwariacademy.com/ncert-solutions/class-7/maths/chapter-6/

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