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## The crown

Three triangles have the same base. What is the top angle γ of the middle one in terms of the other ones α and β?

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## The chocolate muffin

Four isosceles triangles of base 1 and four of base √2 share their top vertex. What is the proportion brown : gold?

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## Angles galore

Two triangles share a side. What’s the angle β?

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## The wall between us

Two circles inscribed an a trapezium divided by a perpendicular line segment. What is the proportion of its length a and the side b?

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## Arc de Triomphe

A parabola passing through a square’s bottom vertices and tangent to its top side. What fraction is blue?

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## The minor chord

Three chords meet at the same point on the circumference of the circle. A perpendicular line segment divides one of them in two parts of length a and b. Express the length of the smallest chord x in terms of a and b.

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## The giant’s shoulder

Two equilateral triangles inside a square. What’s the proportion orange : blue?

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## Buddha’s belly

A square containing a quarter circle and a tangent line segment. What is a : b?

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