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.

Again, an excellent applet. Great work, Sanjay!

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

ReplyDeleteIf 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.

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

ReplyDeleteThank 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.

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