Use similar triangles.
A=xy
But by similar triangles, x/5=(12-y)/12
So, y=12-(12x/5)
A=x(12-(12x/5))
dA/dx=12-(24x/5)
12-(24x/5)=0
x=5/2 and y=6
A=xy=(5/2)(6)=15
Hi, I need some help on how to do the following question.
Find the area of the largest rectangle that can be inscribed in a right triangle with legs adjacent to the right angle of lengths 5cm and 12 cm. The two sides of the rectangle lie along the legs
Final Answer: 15cm squared