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Can the sides of a triangle have lengths 11, 44, and 55?\newlineChoices:\newline(A) yes\newline(B) no

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Full solution

Q. Can the sides of a triangle have lengths 11, 44, and 55?\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 + 4 > 5: Check if 1 + 4 > 5. Calculation: 1+4=51 + 4 = 5. Since 55 is not greater than 55, the inequality does not hold.

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