Tower of circles

Consider N circles stacked on top of each other inside an isosceles triangle, as shown in below for the case of N=4. Let \(A_C\) be the sum of the areas og the N circles, and let \(A_T\) be the area of the triangle. In terms of N, what should the... [Read More]

Angles

Quadrilateral ABCD has angles \(\angle{BAC}=80^{\circ}\) , \(\angle{CAD}=20^{\circ}\) , \(\angle{BDA}=50^{\circ}\) , and \(\angle{CDB}=50^{\circ}\) . Find angles \(\angle{BCA}, \angle{CBD}\) [Read More]