A rectangle contains a circle wedged between two triangles. What is the circle radius in terms of triangle heights a and b?
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The stuck boulder
Tag: length
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The red planet
A semicircle with a chord and a line segment perpendicular to it. What is the total area in terms of lengths a and b?
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The Holy Trinity
Three similar triangles are placed such that they form a large triangle. What is the proportion of line segments a : b?
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Life is a dance
A quarter circle inside a square divides a line segment in parts of length 4 and 6. What is the square’s area?
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Crazy frog
A regular pentagon, two semicircles and two chords. What’s the length proportion a : b?
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The open book
Three squares share four vertices. What is the proportion of the line segment lengths a and b?
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The honeycomb
Two regular hexagons inscribed in a square. If the hexagons have side length a and b, what is the square’s side length?
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En garde
An isosceles triangle with two altitudes dividing each other in segments of length 4 and 5. What is the total triangle area?
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The screwball ice cream
A circle of radius r touching both sides of a parabola having focal length a. A line segment tangent to the circle is split in two equal segments of length d. What is d in terms of r and a?
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The single parent holiday
An equilateral triangle containing two circles of given area and a common tangent divided in two. What is the proportion of the two parts?