at least in the case of an equilateral triangle, a little diagramming should convince you that the small circles have 1/2 the radius of the larger circle. So, the sum of their areas is the same as the area of the large circle.
Not sure about other triangles, though ...
Which takes up more space:
A single circle inscribed in a triangle, touching each side at a single point? Or, four identical circles, with 3 of them touching the center circle, and those same 3 touching one point each on the three sides of the triangle?????
1 answer
1 answer