We can discuss geometry here.

I want to see more things like this because I like it.

It's really fun to discuss things like this.

No lie, this just explained the 1/2 part. Always just took it for granted.

All triangles with a given incircle have the same area.

Wow, that's right.

r= height of the inner triangles a,b,c= base of each inner triangle Area of a triangle= 1/2 * base* heigh The sum of the inner triangles= total area total area = (1/2 ra)+ (1/2rb)+(1/2rc)= 1/2r(a+b+c)

Very detailed explanation but I would love to see how the geometry works