Question

Which set of three segments can form a triangle?

nine centimeters, four centimeters, fifteen centimeters

six centimeters, ten centimeters, sixteen centimeters

four centimeters, eight centimeters, ten centimeters

six centimeters, twenty centimeters, thirty centimeters

Answer 1

The first set CANNOT form a triangle because the first 2 sides (9 and 4) do NOT add to a number larger than 15. Notice how 9+4 = 13 but this is smaller than the third side of 15

So because 9+4 < 15, this means that choice A is not possible

Answer 2

In general, if a,b,c are sides of a triangle, then the following must be true

a+b > c
a+c > b
b+c > a

Answer 3

JIM IS ABSOLUTELY CORRECT!

Answer 4

So option c?

Answer 5

that is correct