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Can the sides of a triangle have lengths 22, 33, and 99?\newlineChoices:\newline(A) yes\newline(B) no

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Full solution

Q. Can the sides of a triangle have lengths 22, 33, and 99?\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 Sum of Two Sides: Check if 2 + 3 > 9. Calculation: 2+3=52 + 3 = 5, which is not greater than 99.

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