SOLUTION: A triangle has two sides that are 6 cm and 15 cm in lengths, respectively. Addie says that the third side could be 9 cm. Drei says that it could not be 9 cm but it could be 15

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Question 1182342: A triangle has two sides that are 6 cm and 15 cm in lengths,
respectively. Addie says that the third side could be 9 cm. Drei says
that it could not be 9 cm but it could be 15 cm. Who is correct and why?

Answer by mananth(16946)   (Show Source): You can put this solution on YOUR website!
Addie says that the third side could be 9 cm. the other sides are 6 & 15 cm
The sum of the lengths of any two sides of a triangle must be greater than the third side. This Theorem is called the Triangle Inequality Theorem.
You cant draw a triangle because one of the options
6+9 is not greater than the third side 15
Drei is correct since it follows the theorem

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