Here is my solution to the problem I presented by means of a GeoGebra applet in the blog post Problem: find exact ratio of areas on 1 September 2019.Problem: find exact ratio of areasGiven that angle A is \({90^{\, \circ }}\), angle B is \({30^{\, \circ }}\) and angle C is \({60^{\, \circ }}\); and also that D (centre of circle) is the point of intersection of the three angle bisectors (dashed) and circle D is tangent to each side of \(\Delta {\rm{ABC}}\), find the...