A square containing a quarter circle. What’s the proportion blue : brown : green?
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The pine forest
Tag: triangle
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The star gazer
A square divided by a diagonal and another line segment. What fraction of its area is purple?
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The Eightfold Path
A semicircle, a square and an isosceles triangle. What’s the angle α?
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The augmented chord
A circle with four chords. What is the length of line segment x in terms of lengths a and b?
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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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Fun with flags
A triangle with two cevians. What is d/c-b/a?
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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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The Olympic bowl
A parabola is tangent to the equal sides of an isosceles triangle in its equal vertices. Another tangent is drawn as shown. Prove that the red line segments are congruent.
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As above, so below
A semicircle, a square, a triangle and two circles. A centre and a tangency point are highlighted. Prove that the circles are congruent.