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Can the sides of a triangle have lengths 11, 22, and 77?\newlineChoices:\newline(A) yes\newline(B) no

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Full solution

Q. Can the sides of a triangle have lengths 11, 22, and 77?\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 1 + 2 > 7: Check if 1 + 2 > 7. Calculation: 1+2=31 + 2 = 3. Since 33 is not greater than 77, the condition fails.

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