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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The odd couple
Tag: proportion
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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 pine forest
A square containing a quarter circle. What’s the proportion blue : brown : green?
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Tomba La Bomba
Three regular hexagons inside a circle. Two shared vertices and five vertices on the circle. What’s red : green?
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The dome tent
A rectangle with a diagonal and an inscribed semicircle. What is red : green : blue?
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The tightrope dancer
A circle containing an isosceles and two equilateral triangles. What is the proportion orange : blue?
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The hidden pyramid
A triangle with an inscribed equilateral triangle. If areas A and B add up to C, what are the proportions A : B : C?
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Down to earth
Two equilateral triangles share a vertex. What is the proportion red : green?
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The leftover package
An isosceles triangle with an inscribed square and three triangles. What is the proportion black : red?
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Brothers in arms
The tangency points of two tangents of a circle are connected. Three perpendiculars are drawn from a point on the circle, of which two have a given length. What’s the proportion red : yellow?