Two tangent circles and two line segments of given length crossing at right angles at the tangency point. One of the line segments is parallel to a common tangent. What’s the total area?
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Velocipede III
Month: March 2021
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Two of a kind
The red and blue triangles are similar. The white areas are given. What is the total area?
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Salt and pepper
A square and two isosceles triangles. What’s the angle?
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The throne
A rectangle with a horizontal line and a diagonal. The red and golden regions have the same area. What fraction is coloured?
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The rolling stones
If you roll a circle down a parabola, small circles can roll all the way down and up, whereas large circles get stuck between the sides at some point. What is the transition radius? In other words, what’s the maximum circle that keeps on rolling?
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The bobline
A regular hexagon is folded back and forth along the dotted line. What fraction of the area is yellow?
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The end of the tunnel
Two semicircles and two congruent triangles with a side of length 2. What’s the brown area?
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The fly on the wall
Two similar but not necessarily congruent 3:4:5 triangles are placed such that their smallest angles overlap. The line segment connecting the common vertex to the small side intersection point has length 4. What is the total area?
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The horse’s head
Two congruent right triangles share a vertex. If the overlap represents 1/7 of the total area, what’s the angle?
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The attic room
A blue square is topped with a right triangle. Using line segments to the top, a green quadrilateral is constructed with at least two right angles. What is the area proportion green : blue?