A rectangle with a diagonal and an inscribed semicircle. What is red : green : blue?
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The dome tent
Tag: triangle
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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.
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Down to earth
Two equilateral triangles share a vertex. What is the proportion red : green?
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The sand heap
Two squares share a vertex. Three other vertices form a triangle, of which one side length is given. What is its area?
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The residue
A parabola is tangent to two sides of a square and to the hypotenuse of an isosceles triangle. The three tangency points are shown. What fraction of the square is green?
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Mind the gap
A regular hexagon with an equilateral triangle sharing a vertex and having a vertex somewhere along the opposite side. What is the maximum length of line segment g?