An equilateral triangle inscribed in a rectangle. What is its area X in terms of triangle areas A and B?
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The bell tolls
Tag: triangle
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Under the volcano
A square containing a right isosceles and an equilateral triangle. What’s the angle α?
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The Pisa experiment
Four squares and an altitude to the top vertex form a right yellow traingle. What is the proportion yellow : green?
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The queen
A cyclic quadrilateral with extended sides and two tangents forming an angle γ. What is γ in terms of α and β?
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Two hemispheres
A triangle with its circumscribed circle and a smaller intersecting circle. The two intersection points and the circumcentre are shown. What’s the proportion red : green?
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Boxed in
A square with an inscribed right triangle. What fraction is yellow?
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Napoleon strikes again
Three equilateral triangles and two line segments. Prove that the three red points are collinear.
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An equitable portion
A square, its diagonals and a right triangle. What fraction is green?
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The leftward lean
Two triangles form a quadrilateral. What’s the total orange area?
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Eternal snow
A triangle with two angle bisectors. What fraction of its area is green?