Question

Which set of three segments can form a triangle?
A:15, 22, 6
B:11, 19, 8
C:17, 9, 10
D:16, 20, 4

Answer 1

You need to first distinguish the longest leg from the two other legs. In case of a tie, either will do.

The two other legs must add up to at least the length of the longer leg.

So which set of segments fulfill this property?

Answer 2

there might be some debate over the "at least" part of that comment

Answer 3

we have one case were: a+b < c

we have 2 cases were: a+b <= c

we have one case were: a+b > c

Answer 4

Right, for this problem it should be 'more than', since if the sum of the other legs is equal to the longer leg, it is more like a line rather than a triangle.

Answer 5

i would agree with that sentiment :)

Answer 6

so whats the answer?

Answer 7

The answer is the set of numbers where the largest number is smaller that the sum of other other numbers.

It's your task to figure which set of numbers fulfills this property.