Two intersecting circles with a triangle that passes through their centres and an intersection point. What’s the angle α?
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The parallax effect
Month: September 2022
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The piercing
An equilateral triangle containing a right triangle and a line segment. What fraction is pink?
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The crazy quilt
A parallelogram is divided into several areas. What is the area X of the blue trapezium?
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The common focus
A parabola, its symmetry axis and a tangent. Yellow connects the focus to the intersection point. Red connects the focus to the tangency point. What’s yellow : red?
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The purple hat
A circle with three tangents forming an isosceles triangle. Two tangency points are shown. What is the proportion green : red?
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The bell tolls
An equilateral triangle inscribed in a rectangle. What is its area X in terms of triangle areas A and B?
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Under the volcano
A square containing a right isosceles and an equilateral triangle. What’s the angle α?
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The Pisa experiment
Four squares and an altitude to the top vertex form a right yellow traingle. What is the proportion yellow : green?
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The queen
A cyclic quadrilateral with extended sides and two tangents forming an angle γ. What is γ in terms of α and β?
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The parrot
Two squares, a diagonal and a line segment. What is red : blue : green?