A square and a rectangle share a vertex. Two triangle areas are given. What is the total area?
Two regular pentagons and two diagonals. What’s the angle α?
A square containing four smaller squares. What fraction of its area is orange?
Two squares and two diagonals. Prove that the angles α and β are equal.
Two semicircles, a tangent and an altitude to the tangency point. Prove that the red triangle is isosceles.
A trapezium with its diagonals and a parallel line segment. What’s the proportion blue : red?
A square divided by three line segments. What’s the proportion green : yellow?
Three squares and a line segment of which a vertex is the midpoint. What is the proportion purple : green?
Two congruent circles and a triangle. Prove that the triangle is isosceles.
Two tangent circles and two red tangent line segments. The three tangency points are shown. What is the angle β in terms of the angle α?