Monthly Archives: March 2022

Let $D$ be an arbitrary point on the side $BC$ of a given triangle $ABC$ and let $E$ be the intersection of $AD$ and the second external common tangent of the incircles of triangles $ABD$ and ACD. As $D$ assumes … Continue reading →

In the diagram below, two congruent semi-circles that are tangent to each other, are inscribed inside a bigger semi-circle with its diameter as 10 unit. The area of the shaded region can be expressed as $\dfrac{a}{b}\pi$, where $a$ and $b$ … Continue reading →