Maths-
General
Easy

Question

Is it possible to construct a triangle with the given side lengths? If not, explain why not.
6, 7, 11

hintHint:

  • Triangle inequality theorem
  • According to this theorem, in any triangle, sum of two sides is greater than third side,
  • a < b + c
  • b < a + c
  • c < a + b

The correct answer is: Yes, it is possible to construct triangle with this sides.


    • Step-by-step explanation: 
    • Given:
    In triangle, sides are 6 cm, 7 cm and 11 cm.
    a = 6, b = 7, and c = 11.
    • Step 1:
    • First check validity.
    According to triangle inequality theorem,

    a < b + c,

     6 < 7 + 11

    6 < 18, True

    b < a + c,

     7 < 6 + 11

    7 < 17, True

    c < a + b,

    11 < 6 + 7

    11 < 13, True
    As sides of triangle satisfy triangle inequality theorem.
    Hence, triangle can be constructed with this sides.

    • Final Answer: 
    Yes, it is possible to construct triangle with this sides.

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