Which of the following combinations of side lengths will form a triangle?

A.XY = 12 mm , YZ = 15 mm , XZ = 30 mm
B.XY = 9 mm , YZ = 12 mm , XZ = 24 mm

C.XY = 6 mm , YZ = 15 mm , XZ = 24 mm

D.XY = 9 mm , YZ = 15 mm , XZ = 21 mm

Question

Which of the following combinations of side lengths will form a triangle?

A.XY = 12 mm , YZ = 15 mm , XZ = 30 mm  
B.XY = 9 mm , YZ = 12 mm , XZ = 24 mm

C.XY = 6 mm , YZ = 15 mm , XZ = 24 mm

D.XY = 9 mm , YZ = 15 mm , XZ = 21 mm

anonymous · Answer

D will not form a triangle, as two sides cannot be greater than the third. Not sure about the other ones though.

anonymous · Answer

thanks

anonymous · Answer

I believe Reciever80 is wrong, in order to make a triangle the sum of any two sides must be greater than the third. Otherwise the other two sides even at angles of 0 degrees would not extend the entire distance of the third.|dw:1354221277808:dw| you would be left with something like that.