Orange and green semicircles with equally long but perpendicular diameters (both length 2) are partially covered by a blue canopy at angle α. What is the orange area, which is not covered by either of the other regions, in terms of α?
A square with a diagonal and a right triangle. What fraction is red?
Four squares. The red vertex is the centroid of the red triangle. What is the yellow area?
The blue square blades are twice as long as the red triangle sides. What is the ratio of red to yellow areas?
A triangle with three line segments to an internal point. What’s the angle α?
Several line segments, some of which are parallel. What is green : orange?
A right triangle with one trisected angle. What’s the angle α?
Show that the light blue area is the same as the dark green area.
What is the full bat area (including the enclosed white parts) divided by that of its (equilateral triangular) upper torso?
A triangle with three cevians that are concurrent in an arbitrary interior point. What is the maximum value of bdf/ace?