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The sum of the lengths of any two sides is greater than the lenght of the third side.
here is a proof for right angled triangle:
Ooohh ... so you CAN have one side of a triangle longer than the other two, it just somehow slips into imaginary space ...
Lets take the length of sides Mathsy has given.
Try disproving it and fail. Just try drawing a triangle with lengths of 2, 3 and 6. The 2 and 3 are too short and too far apart to be able to join up.
How do we prove that the sum of the lengths of any two sides is greater than the lenght of the third side in the first place?
Ganesh is right, but as BC=4, it can be continued further:
The Triangle inequality is
The sum of the lengths of any two sides is greater than the lenght of the third side. in triangle ABC, BC = 4 and AC = 8 - AB. Write an inequality for AB.