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Can the sides of a triangle have lengths 44, 88, and 1010?\newlineChoices:\newline(A) yes\newline(B) no

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Full solution

Q. Can the sides of a triangle have lengths 44, 88, 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. The sum of the lengths of any two sides must be greater than the length of the third side.
  2. Check 4+8>104 + 8 > 10: Check if 4+8>104 + 8 > 10. Calculation: 4+8=124 + 8 = 12, and 12>1012 > 10, so this part is true.
  3. Check 4+10>84 + 10 > 8: Check if 4+10>84 + 10 > 8. Calculation: 4+10=144 + 10 = 14, and 14>814 > 8, so this part is true too.
  4. Check 8+10>48 + 10 > 4: Check if 8+10>48 + 10 > 4. Calculation: 8+10=188 + 10 = 18, and 18>418 > 4, so this part is also true.

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