Saturday, March 17, 2012

Maximum Area of Right Triangle with given Hypotenuse

This is a Java Applet created using GeoGebra from - it looks like you don't have Java installed, please go to


  1. Again, an excellent applet. Great work, Sanjay!

  2. You have a nice applet, but the proof of the result follows from the arithmetic mean-geometric mean inequality:

    If the legs of the right triangle are a and b and the hypotenuse is given by c, then

    Area = (1/2)ab < = (a^2 + b^2)/4 = c^2/4, with equality if and only if a =b.

  3. I appreciate you Sanjay Gulati for these continues wonderful posts and I want to know that What is a Scalene Triangle?

    1. Thank you Anky for visiting blog. Scalene triangles are triangles where each side is a different length. The interior angles of a scalene triangle are always all different. The converse of this is also true - If all three angles are different, then the triangle is scalene, and all the sides are different lengths.