Hello friendsĦĦ
I need to find the greatest area rectangle which can be drawn "inside" of a right triangle.
Measures: Cathetus a = 4cm and cathetus b = 3cm.
I need to solve the problem by using derivatives.
Thanks in advance
Hello, osodud!
A diagram will always help.Find the greatest area rectangle which can be drawn
inside a right triangle with legs 3 and 4.Code:- - * : : | * : 3-y| * : : | * 3 - *-----------* : : | x | * : y | |y * : : | | * - - *-----------*-----------* : - - x - - : - 4-x - : : - - - - - 4 - - - - - :
The area of the rectangle is: . .[1]
From the similar right triangles, we have: .
. . which simplifies to: . .[2]
Substitute [2] into [1]: .
And you must maximize: .
. . Got it?