A square contains a right triangle. What fraction is red?
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Almost sunk
Tag: square
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A light packing
A triangle containing two congruent squares. Each square has 1/3 the perimeter and 1/6 the area of the triangle. What’s the triangle side length proportion a : b : c?
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The triskelion
A circle containing an equilateral triangle and three squares. What fraction is purple?
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The consonant squares
Four squares and a rectangle. What’s the angle α?
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The forward lean
A square with a diagonal and an isosceles triangle. What fraction is brown?
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The purple square
A regular octagon of side length 2 with two diagonals and a square. What is the purple area?
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Ruyles squares
There are four possible squares with a vertex at distance a from the centre and two vertices on the circle of radius r. Find their areas in terms of a and r.
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A deep connection
Two squares inside a circle. What is the circle area in terms of length a?
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Square one
Three squares share a vertex. Two line segments pass through side midpoints. Prove that a : b = c : d.
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To shy away
Two squares share a vertex. What’s the proportion orange : blue?