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Can the sides of a triangle have lengths 11, 11, 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, 11, 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. Check Side Lengths: Check if 1 + 1 > 8. Calculate 1+1=21 + 1 = 2. Since 22 is not greater than 88, the sides 11, 11, and 88 do not satisfy the triangle inequality theorem.

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