Two equilateral triangles share a vertex. The centre of the larger one is aligned with the midpoint of a side of the smaller one. What is green : red?
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At navel level
Tag: proportion
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Sharing is caring
Three equilateral triangles and three shared vertices. What’s the proportion blue : green?
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Harmonic proportions
A trapezium with its diagonals and a parallel line segment. Prove that yellow : purple = blue : red.
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The common focus
A parabola, its symmetry axis and a tangent. Yellow connects the focus to the intersection point. Red connects the focus to the tangency point. What’s yellow : red?
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The purple hat
A circle with three tangents forming an isosceles triangle. Two tangency points are shown. What is the proportion green : red?
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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 parrot
Two squares, a diagonal and a line segment. What is red : blue : green?
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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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Overhanging rock
A rectangle with three line segments. What’s the proportion red : yellow?
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Emerging from water
Two squares and an extended side. What’s red : green : pink?