A cyclic quadrilateral and two diagonals. What fraction of its area is blue?
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Similar intention
Tag: triangle
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The glass piece
A square and an overlapping isosceles triangle. What is the angle α?
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The red flag
Three squares of which two vertices are connected. If the red triangle has area 1.5 and the green square area 1, what is the side length x?
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The common point
Two equilateral triangles share a vertex. What’s the angle α?
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The vanishing point
A square and an equilateral triangle. An extended side and diagonal meet in a point. What is the angle α?
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The flying saucer
A quarter circle with four chords. What is the proportion purple : gold?
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Missing pieces
A rectangle is divided in six similar triangles. What is the proportion green : yellow : red : blue?
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The root cause
A square and an equilateral triangle are divided in several polygons. What is the proportion yellow : blue?
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Round and pointy
A circle is inscribed in both a semicircle and a right triangle. The three tangency points are shown. What is the angle α?
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And counting
A triangle containing an altitude and the inscribed circle. One tangency point is shown. The red line segments have equal length. What is the proportion of the triangle sides a : b : c?