This problem took me a while to solve because of its calculations, but it’s actually very instructive. It makes you see how few conditions can determine a lot. All of the data is in the figure above, we have to find the area of the rectangle. Now let where alpha is the biggest of the […]

# Category: Computational Geometry

## Sometimes Geometry Just Needs Smart Calculations

In the figure, suppose AB = 14, BC = 12, CA = 10. AD is the angle bisector of A, intersecting the circumcircle of ABC at E. The circle with diameter DE intersects the circumcircle of ABC again at F. Find the measure of AF squared. To solve this problem, I used a theorem named […]

## Ellipses And Dilations

I found this problem in the last phase of a team championship I am participating in. We have an ellipse of equation A line through the origin intercepts the ellipse in two points. We draw the tangents to the ellipse at these points and complete the rectangle in such a way that its sides are […]