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Can the sides of a triangle have lengths 22, 33, and 55?\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 55?\newlineChoices:\newline(A)yes\newline(B)no
  1. Check Triangle Inequality Theorem: To determine if these lengths can form a triangle, we need to check the triangle inequality theorem. The sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
  2. Check 2 + 3 > 5: Check if 2 + 3 > 5. Calculate: 2+3=52 + 3 = 5. Since 55 is not greater than 55, the inequality is not satisfied.
  3. Conclusion: Since the triangle inequality theorem is not satisfied for these side lengths, the sides 22, 33, and 55 cannot form a triangle.

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