To find: The largest possible area and dimensions of right triangle.
Answer to Problem 2E
The maximum area is
Explanation of Solution
Given information: The hypotenuse of the equilateral triangle is 5cm.
Formula used:
Pythagoras theorem,
That is,
Where c is hypotenuse, a is altitude and b is base.
The area of the triangle,
Calculation:
By Pythagoras theorem,
The area of triangle,
Upon taking the first derivative of the above equation,
For finding the maximum let assume that
Therefore,
Then,
If a is
Since, the double derivative is negative.
This means that area is maximum when the value of a is
Maximum area is,
Chapter 4 Solutions
CALCULUS-W/XL ACCESS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning