Which of the following sets of numbers could not represent the three sides of a triangle?
Answer
Multiple Choice Answers
a left curly bracket, 8, comma, 20, comma, 26, right curly bracket{8,20,26}
b left curly bracket, 8, comma, 20, comma, 27, right curly bracket{8,20,27}
c left curly bracket, 13, comma, 20, comma, 30, right curly bracket{13,20,30}
d left curly bracket, 10, comma, 16, comma, 27, right curly bracket{10,16,27}
The set of numbers that could not represent the three sides of a triangle is option d: {10, 16, 27}.
This is because in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. In this case, 10 + 16 is not greater than 27, so it could not form a triangle.