Triangle Inequality Theorem
Move point C to change the shape of the triangle. Slide to change the lengths of sides AB and BC.
Pick a random number for AB and BC. Add the length of AB and BC. [br][br]How does this compare to the length of AC?
AB + BC > AC
AB + BC < AC
Is there any value of AB and BC such that the sum of AB and BC will be less than the length of AC?
No, AB + BC is always greater than AC.
Which of the following is the correct conclusion based on this exploration?
The sum of any two sides of a triangle is less than the third side
Any side of a triangle must be less than the sum of the other two sides.
The sum of any two sides of a triangle is greater than the third side
Any side of a triangle must be greater than the sum of the other two sides.
If AB = 15 and BC = 7, what are some possible values of AC?
AB + BC = 15 + 7 = 22. [br][br]AC must be LESS than 22.
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Information: Triangle Inequality Theorem