A builder has constructed three flats in his plot. The direct distance from Flat \(A\) to Flat \(B\) is 372 yards. The direct distance from Flat \(B\) to Flat \(C\) is 780 yards. Which of the choices could be the direct distance from Flat \(A\) to Flat \(C\) if all the three flats are placed in non-collinear points?
Answer:
The sum of the two sides of a triangle is always _________ the third side.
The difference of the two sides of a triangle is always _________ the third side.
If the two sidelengths \(a\) and \(b\) of the triangle are known, then the third side must lie between ____________.
The possible direct distance from Flat \(A\) to Flat \(C\) lies between __________ yards and __________ yards.
(Note: Select all the possible values of the third side).