What is the ratio of the blue and yellow lines?
Categories
Mouth to mouth
Tag: proportion
Categories
Equal rights
Two squares sharing a vertex. Two vertices are connected by a line segment. What is yellow : green?
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The pentagon proportion
A regular pentagon and a circular arc through its red centre. What’s the proportion α : β?
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The lighthouse
A parallelogram and four equilateral triangles. What is yellow : green?
Some chords and segments inside a semicircle. What is the ratio of red to blue?
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The hex division
A regular hexagon with two diagonals and two perpendiculars. What’s red : yellow?
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The basketball court
An orange circle is squeezed inside a rectangle. Show that no matter how the blue point moves on the circle, the derived points Q and P will satisfy |QL| = |KP|.
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The owl of Ceva
A triangle with three concurring cevians. What’s orange : blue?
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The vanilla ice cream
A regular pentagon with two extended sides and a right angle. What is blue : green?
Three congruent squares share two vertices while the upper sides coincide. What’s red : blue?