Question

Which of the following sets of numbers could represent the three sides of a triangle?
Answer
Multiple Choice Answers
left curly bracket, 12, comma, 17, comma, 30, right curly bracket{12,17,30}
left curly bracket, 6, comma, 19, comma, 22, right curly bracket{6,19,22}
left curly bracket, 11, comma, 21, comma, 33, right curly bracket{11,21,33}
left curly bracket, 13, comma, 22, comma, 35, right curly bracket{13,22,35}

Answer 1

{6, 19, 22}

Reason: the triangle inequality requires the sum of any two sides to be greater than the third. 6+19=25>22, 6+22=28>19, and 19+22=41>6, so these work. The other sets fail because two side sums are ≤ the third.