2007 iTest Problems/Problem 31
Problem
Let be the length of one side of a triangle and let y be the height to that side. If , find the maximum possible of the area of the triangle.
Solution
By an area formula for a triangle, the area of the triangle is . Since , substitute to get .
The x-value to get the maximum is . Thus, the maximum area of the triangle is , so the maximum integral area is .
See Also
2007 iTest (Problems) | ||
Preceded by: Problem 30 |
Followed by: Problem 32 | |
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