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Can the sides of a triangle have lengths 33, 77, and 1010?\newlineChoices:\newline(A) yes\newline(B) no

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Full solution

Q. Can the sides of a triangle have lengths 33, 77, and 1010?\newlineChoices:\newline(A) yes\newline(B) no
  1. Triangle Inequality Theorem: To determine if these lengths can form 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 Triangle Inequality: Check if 3 + 7 > 10. Calculation: 3+7=103 + 7 = 10.

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