SOLUTION: Each set of numbers below represents the lengths of three line segments. Which set represent line segments that could be connected to form a triangle? A (3, 1, 2) B (3, 2, 5)

Algebra ->  Triangles -> SOLUTION: Each set of numbers below represents the lengths of three line segments. Which set represent line segments that could be connected to form a triangle? A (3, 1, 2) B (3, 2, 5)       Log On


   

Question 482642: Each set of numbers below represents the lengths of three line segments.
Which set represent line segments that could be connected to form a triangle?
A (3, 1, 2)
B (3, 2, 5)
C (1, 15, 100)
D (40, 5, 40)
E (30, 4, 10)
F (20, 30, 50)
Answer by cleomenius(959) About Me  (Show Source):
You can put this solution on YOUR website!
By the triangle inequality theory, the sum of any two sides of a triangle must exceed the third side.
The only set that fits this criteria is D, 40,5 and 40.
Cleomenius.