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Can the sides of a triangle have lengths 22, 77, and 77?\newlineChoices:\newline(A) yes\newline(B) no

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Full solution

Q. Can the sides of a triangle have lengths 22, 77, and 77?\newlineChoices:\newline(A) yes\newline(B) no
  1. Check Triangle Inequality Theorem: Check if the given side lengths satisfy the triangle inequality theorem. The theorem states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.\newlineCalculation: 2+7=92 + 7 = 9, which is greater than 77.
  2. Verify Other Combinations: Check the other two combinations of side lengths.\newlineCalculation: 7+7=147 + 7 = 14, which is greater than 22.
  3. Final Side Length Calculation: Check the last combination of side lengths.\newlineCalculation: 2+7=92 + 7 = 9, which is greater than 77.

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