SOLUTION: The sides of a triangle have lengths 9,13 and k, where k is an integer. For how many values of "k" is the triangle obtuse?

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Question 703831: The sides of a triangle have lengths 9,13 and k, where k is an integer. For how many values of "k" is the triangle obtuse?
Answer by fcabanski(1391) About Me  (Show Source):
You can put this solution on YOUR website!
A triangle is obtuse if k%5E2+%3E+a%5E2+%2B+b%5E2 - in other words if the square of the longest side is larger than the sum of the squares of the smaller two sides.


In this case k%5E2+%3E+81%2B169 ---> k%5E2+%3E+250 ---> k+%3E+15.811...
There are an infinite number of solutions to that equation.

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