An equilateral triangle and several line segments. What fraction is purple?
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The holy number
Tag: triangle
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Protection
Two coloured squares inside a triangle inside a square of side length a. What is the length proportion a : b?
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Elasticity
Four squares and two triangles. Prove that the two green angles are congruent.
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The Transamerica Pyramid
Two squares inscribed in a triangle. What fraction of its area is coloured?
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It’s complicated
A circle, a semicircle and several triangles. The black points are tangency points. What proportions have the line segments a : r : b?
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The odd couple
A semicircle with two inscribed triangles The tangency points of the incircle of the bigger triangle are shown. What is the triangle area proportion orange : blue?
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Blazing hot
A circle inscribed in a triangle inscribed in a semicircle. The line segment through two tangency points meets a radius at the semicircle circumference. What is the angle α?
Three squares are placed as shown. What fraction of the total area is green?
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The turning point
Two isosceles triangles share a vertex. What is the maximum of their area proportion red/green?
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The kingsize bed
A rectangle with an inscribed right triangle. What is ac/bd?