An isosceles triangle with an inscribed square and three triangles. What is the proportion black : red?
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The leftover package
Category: Beginner
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The dog ear
A square contains a triangle. What fraction of the square is red?
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The tornado
A quadrilateral covers exactly half of the area of a rectangle. Find the length x in terms of a, b and c.
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David and Goliath
Two squares share a vertex. What’s the proportion blue : green?
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The core business
Two squares with two highlighted vertices and a centre. Proof that these points are collinear.
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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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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 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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Square eyes
A square with four quarter circles of which the intersection points are the vertices of a yellow quadrilateral. What fraction of the total area is yellow?