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Can the sides of a triangle have lengths 33, 44, and 77?\newlineChoices:\newline(A) yes\newline(B) no

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Full solution

Q. Can the sides of a triangle have lengths 33, 44, and 77?\newlineChoices:\newline(A) yes\newline(B) no
  1. Check Triangle Inequality: To determine if these lengths can form a triangle, we need to check the triangle inequality theorem. The sum of the lengths of any two sides must be greater than the length of the third side.
  2. Check Sum of Sides: Check if 3 + 4 > 7. Calculation: 3+4=73 + 4 = 7. Since 77 is not greater than 77, the inequality is not satisfied.
  3. Conclusion: Since one of the conditions of the triangle inequality theorem is not met, these lengths cannot form a triangle.

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