SOLUTION: Explain why a triangle with sides of 6, 9, and 10 cannot have an area greater than 27.

Question 875368: Explain why a triangle with sides of 6, 9, and 10 cannot have an area greater than 27.
Answer by josgarithmetic(39620) (Show Source): You can put this solution on YOUR website!
This is some guidance although not actually answering the question.

Looking at the angle formed between the 6 unit side and the 9 unit side length, testing to see if 10 unit length is a hypotenuse of a right triangle shows us ; and that angle between the 6 and the 9 unit lengths is acute. What other conclusions does this imply?
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