Terminology

Stage: 3 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

An isoceles triangle circumscribing and equilateral triangle with angles between the vertices of the equilateral triangle and isosceles triangle of a, b and c The green triangle is an isosceles triangle while the blue triangle is an equilateral triangle.

Find $a$ in terms of $b$ and $c$.

What can you say about the triangles if $a = b = c$?


Published September 2003.