Assume orange/blue = BC/AB = 2. What is green/red for chord lengths? (The angle DAB is equal to the angle between the red and green chords.)
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Chord ratio
Month: September 2024
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Two moons II
A rectangle with two congruent circles, a semicircle and a common tangent. What is yellow : brown?
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The boat
If A is the midpoint of CD, ▵BCA ∼ ▵ADE, |EB|=4 and |ED|=3, what is |AE|?
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Tram tracks
Three similar triangles ABC, CAD and BCE. Show that lines AE and DB are parallel.
Puzzle author : David Odell.
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The cheese slicer
A quarter circle of radius 1 with a yellow quadrilateral that has one side tangent to it. What is the perimeter of the quadrilateral?
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Tray balanced on dunce cap
Must the red and green segments have the same length? (The sides of the dunce cap are tangent to the circle. The tray is horizontal (parallel to the base tangent line to the circle).)