Google Classroom

Classe GeoGebra

Triangle Inequality Theorem

Auteur :kathleenh

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. How does this compare to the length of AC?

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A
AB + BC > AC
B
AB + BC < AC

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Is there any value of AB and BC such that the sum of AB and BC will be less than the length of AC?

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Which of the following is the correct conclusion based on this exploration?

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A
The sum of any two sides of a triangle is less than the third side
B
The sum of any two sides of a triangle is greater than the third side
C
Any side of a triangle must be less than the sum of the other two sides.
D
Any side of a triangle must be greater than the sum of the other two sides.

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If AB = 15 and BC = 7, what are some possible values of AC?

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