Two touching circles and two lines passing through the tangency point. What is the area proportion of the two triangles?
An equilateral triangle stacked on a pentagon. What’s the angle?
Don Quixote is approaching a windmill. The sails of length √2 are attached to a point that is 2 above eye level. What is the maximum vertical angle that Don Quixote perceives as he moves forward?
A rectangle and several triangles. The orange triangle has the same area as the green trapezium. What’s the total coloured fraction?
A rectangle and two triangles. What’s the total area?
An isosceles triangle with base 10 and sides 13. What is the total length of the red line segments?
Two squares share a vertex. An isosceles triangle connects three others. What fraction is blue?
Two congruent circles and a common tangent. A triangle connecting tangency points and the upper intersection point. What angle α maximises its area?
A ball track starts halfway the left side of an equilateral triangular billiard table having side length 2. After two bounces it arrives in the top corner. What’s the total track length?
A circle divided into six congruent sectors. A smaller concentric circle of radius one quarter of the large one. What fraction is black?