Question

A circle is inscribed in triangle ABC with sides a, b, c. Tangents to the circle parallel to the sides of the triangle are constructed. Each of these tangents cuts off a triangle from ∆ABC. In each of these triangles, a circle is inscribed.
Find the sum of the areas of all four inscribed circles (in terms of a, b, c).

Related Questions

1. Ab is a chord of a circle with center o and radius 52 cm . point m divides the chord ab such that... 1. Ab is a chord of a circle with center o and radius 52 cm . point m divides the chord ab such tha... 1. Ab is a chord of a circle with center o and radius 52 cm . point m divides the chord ab such that... There is a shape first a regular triangle inscribed in a circle, and inscribed in a square, inscrib...