SOLUTION: A student has sticks of lengths 5 cm and 9 cm. She wants to use a third stick to form a triangle. What are the possible lengths of the third side?

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Question 934039: A student has sticks of lengths 5 cm and 9 cm. She wants to use a third stick to form a triangle. What are the possible lengths of the third side?
Found 2 solutions by Techpriest, MathTherapy:
Answer by Techpriest(29) About Me  (Show Source):
You can put this solution on YOUR website!
Assuming that's she's trying to make a right triangle, we can use the Pythagorean Theorem to find the possible length.
+a%5E2+%2B+b%5E2+=+c%5E2+
+5%5E2+%2B+9%5E2+=+c%5E2+
+25+%2B+81+=+c%5E2+
+106+=+c%5E2+
+sqrt%28109%29+=+c+
The possible length can only be the square root of 109.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

A student has sticks of lengths 5 cm and 9 cm. She wants to use a third stick to form a triangle. What are the possible lengths of the third side?


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