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Can the sides of a triangle have lengths 22, 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 22, 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. The sum of the lengths of any two sides must be greater than the length of the third side.
  2. Check 2+42 + 4: Check if 2 + 4 > 5. Calculation: 2+4=62 + 4 = 6, and 6 > 5, so this part is true.
  3. Check 2+52 + 5: Check if 2 + 5 > 4. Calculation: 2+5=72 + 5 = 7, and 7 > 4, so this part is true.
  4. Check 4+54 + 5: Check if 4 + 5 > 2. Calculation: 4+5=94 + 5 = 9, and 9 > 2, so this part is true.

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