Question 16
Let $a, b, c$ be the lengths of the sides of a non-isosceles triangle. Three concentric circles of radii $a, b$ and $c$ are given.
a) How many equilateral triangles of different areas can be constructed, so that the lines that contain their sides are tangent to each circle?
b) Find the surfaces of these triangles.
a) How many equilateral triangles of different areas can be constructed, so that the lines that contain their sides are tangent to each circle?
b) Find the surfaces of these triangles.