A rectangle with a diagonal and an inscribed semicircle. What is red : green : blue?
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The dome tent
Month: January 2022
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Fun with flags
A triangle with two cevians. What is d/c-b/a?
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The last wave
A square containing a quarter circle, a semicircle and a circle. What is the proportion blue : green?
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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 chess board
A square is divided by six line segments. What fraction is brown?
A unit circle with an inscribed square and four semicircles. What’s the sum of the semicircle areas?
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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.
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Down to earth
Two equilateral triangles share a vertex. What is the proportion red : green?