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

Algebra ->  Surface-area -> SOLUTION: Explain why a triangle with sides of 6, 9, and 10 cannot have an area greater than 27.      Log On


   

Question 875368: Explain why a triangle with sides of 6, 9, and 10 cannot have an area greater than 27.
Answer by josgarithmetic(39620) About Me  (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 6%5E2%2B9%5E2+%3C+10%5E2; and that angle between the 6 and the 9 unit lengths is acute. What other conclusions does this imply?