# How do you find the area of the largest rectangle that can be inscribed in a right traingle with legs of lengths 3 cm and 4cm if two sides of the rectangle lie along the legs?

##### 1 Answer

May 27, 2015

Given the diagram below:

The area of the rectangle is

The maximum area will occur when the derivative of the Area is equal to zero

The width of the rectangle will be

The height of the rectangle will be

The Area of the rectangle will be

.