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Can the sides of a triangle have lengths 33, 66, and 1010?\newlineChoices:\newline(A) yes\newline(B) no

Full solution

Q. Can the sides of a triangle have lengths 33, 66, and 1010?\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 Side Lengths: Check if 3 + 6 > 10. Calculation: 3+6=93 + 6 = 9, which is not greater than 1010.

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