Find the area of the largest rectangle that can be inscribed in a right triangle with legs adjacent to the right angle of the lengths 5 cm and 12 cm. The two sides of the rectangle lie along the legs.
Find the area of the largest rectangle that can be inscribed in a right triangle with legs adjacent to the right angle of the lengths 5 cm and 12 cm. The two sides of the rectangle lie along the legs.
sketch the right triangle with vertices (0,0) , (0,5) , and (12,0)
one corner of the rectangle lies on the line between (0,5) , and (12,0).
you need to find the equation of this line.
area of the rectangle will be A = xy , where y is the linear equation mentioned above.
find $\displaystyle \frac{dA}{dx}$ and maximize.