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Can the sides of a triangle have lengths 11, 55, and 88?\newlineChoices:\newline(A) yes\newline(B) no

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Full solution

Q. Can the sides of a triangle have lengths 11, 55, and 88?\newlineChoices:\newline(A) yes\newline(B) no
  1. Check Triangle Inequality Theorem: To determine if these can be the sides of 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. Calculate 1+51 + 5: Check if 1 + 5 > 8. Calculation: 1+5=61 + 5 = 6, which is not greater than 88.
  3. Final Conclusion: Since 66 is not greater than 88, the sides 11, 55, and 88 do not satisfy the triangle inequality theorem. Therefore, they cannot form a triangle.

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