Two regular hexagons inscribed in a square. If the hexagons have side length a and b, what is the square’s side length?
A square sheet of paper is folded symmetrically from a corner. If the fold length is 4, what is the area of the triangle formed by the other three corners?
Two squares sharing a vertex. What’s the angle α?
A semicircle with three squares. The areas of the smaller squares are given. What is the area of the biggest one?
A triangle containing a semicircle and an equilateral triangle. What fraction is golden?
An equilateral triangle with three congruent squares. What’s the angle α?
Two overlapping congruent right triangles. If |AB|=15 and |BC|=7, what is the total area?
An isosceles triangle with two altitudes dividing each other in segments of length 4 and 5. What is the total triangle area?
Two isosceles triangles and a right angle. What is the proportion green : gold?
A regular hexagon and three squares. What is the proportion yellow : brown?