SOLUTION: The sides of a triangle measure 4, 9, and 11. Is this a right triangle? If not then is it acute or obtuse?

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Question 1209390: The sides of a triangle measure 4, 9, and 11. Is this a right triangle? If not then is it acute or obtuse?
Answer by math_tutor2020(3817)   (Show Source): You can put this solution on YOUR website!

We use the Converse of the Pythagorean Theorem.
Here are the three possibilities:a,b,c are the sides of the triangle.
c is always the longest side. The a,b can be in any order.

a = 4, b = 9, c = 11 are the three sides



In short,



The results 97 and 121 aren't equal, so the case is false.
This is not a right triangle.
The result of is smaller than the result of (since 97 < 121) so we conclude that is case.
The triangle is obtuse.

You can confirm this using an online tool such as this one or you can use GeoGebra (the GeoGebra link may take a bit of time to load).
There are many other similar online tools.

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Answer: Obtuse
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