[color=#6aa84f]This page provides supplementary materials for a problem from another page:[br][url=https://www.geogebra.org/m/gdz2hbze]https://www.geogebra.org/m/gdz2hbze[/url] [/color]

D is a point on AB, vertically above C. The length of CD is shown. When you drag the point C, you can see that the triangle area divided by CD gives a constant. [color=#ff0000]Do you expect this? Can you explain how this constant is related to any part of this figure? [/color][br][br]If the area of the triangle is proportional to CD, we can make CD as long as possible to get the maximum area. [color=#ff0000]So, how can you get the longest CD? [/color]

Continue to explore this problem with more suggestion in another page:[br][url=https://www.geogebra.org/m/vqf8tcyf]https://www.geogebra.org/m/vqf8tcyf[/url]