The slanted lines are perpendicular, and the one in the bottom story bisects the angle. Show that red equals green, so the stories have the same height.
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Two-story A-frame house
Tag: proportion
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Angle versus height
What is the ratio orange/green?
Two quarter-circles fit inside a square, and five circles fit inside the overlapped region, centred. What is the ratio of the (straight line) segment lengths red to blue? (The segments connect to points of tangency.)
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Ball of yarn
A cyclic hexagon has concurrent cross diagonals. What is the ratio of the product of the orange sides compared to the product of the purple sides. (ace:bdf).
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Domino day II
Two large congruent rectangles share a vertex and contain two coloured rectangles. What is red : blue?
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Giant’s shoulder II
Three equilateral triangles share three vertices. What is blue : red?
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Pythagoras times three
Three squares on a grid. What is the ratio of the areas red : green : purple?
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The open roof
A regular hexagon with two line segments at right angles. What is the minimum of yellow : red?
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The star shaft
A square with an equilateral triangle. M is the triangle side midpoint. What is yellow : red?
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Needles and yarn
The purple yarn is stretched between the coloured needles approximately as shown, and the yarn is repositioned to make the shortest path of that type. What is the length ratio purple/green?