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Sahil claims he can construct a triangle with sides 3 cm, 4 cm and 8 cm.
Is this construction possible, and why?

Class 9Constructions of TrianglesGeometry
  • ANo, because 3 + 4 = 7 is not greater than 8
  • BYes, because all sides are different
  • CYes, because 8 is the longest side
  • DNo, because the sides are too small

Step-by-Step Solution

The triangle inequality requires the sum of any two sides to exceed the third. Here 3 + 4 = 7 < 8, so no such triangle exists and the construction is impossible.
Answer: A) No, because 3 + 4 = 7 is not greater than 8

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