Question

Which of the following sets of numbers could represent the three sides of a triangle?
Answer
Multiple Choice Answers
left curly bracket, 15, comma, 28, comma, 45, right curly bracket{15,28,45}
left curly bracket, 5, comma, 15, comma, 20, right curly bracket{5,15,20}
left curly bracket, 10, comma, 16, comma, 24, right curly bracket{10,16,24}
left curly bracket, 11, comma, 24, comma, 37, right curly bracket{11,24,37}

Answer 1

{10, 16, 24}

Because they satisfy the triangle inequalities: 10+16=26>24, 10+24=34>16, and 16+24=40>10. The others fail (15+28=43<45; 5+15=20 equals 20 so is degenerate; 11+24=35<37).