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Can the sides of a triangle have lengths 11, 77, 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, 77, and 88?\newlineChoices:\newline(A) yes\newline(B) no
  1. Triangle Inequality Theorem: To determine if these can be the sides of a triangle, we need to check the triangle inequality theorem. This 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.
  2. Check 1 + 7 > 8: Check if 1 + 7 > 8. Calculation: 1+7=81 + 7 = 8. Since 88 is not greater than 88, the inequality does not hold.

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