Question

Which of the following sets of numbers could not represent the three sides of a triangle?
Answer
Multiple Choice Answers
left curly bracket, 4, comma, 16, comma, 17, right curly bracket{4,16,17}
left curly bracket, 15, comma, 24, comma, 36, right curly bracket{15,24,36}
left curly bracket, 14, comma, 26, comma, 37, right curly bracket{14,26,37}
left curly bracket, 12, comma, 24, comma, 37, right curly bracket{12,24,37}

Answer 1

{12, 24, 37}

Because 12 + 24 = 36 which is not greater than 37, the triangle inequality fails, so these cannot be the sides of a triangle. The other sets satisfy the triangle inequality (each pair sums to more than the third).