Two touching circles are placed on top of a right triangle. What’s the angle between the chords connecting the tangency points?

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geometry puzzles

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- Post author By Rik D. Tangerman
- Post date November 2, 2020
- No Comments on Balancing balls

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- Post author By Rik D. Tangerman
- Post date October 30, 2020
- No Comments on The marble box

Two marbles of sizes π and 4π are enclosed in a rectangular box. What is the total area of the box?

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- Post author By Rik D. Tangerman
- Post date October 27, 2020
- No Comments on The triangle tango

An isosceles triangle is attached to another triangle with a 60-degree angle as shown. Their opposite vertices are connected by a line segment of length 2. What is the area of the quadrilateral?

- Tags area, quadrilateral, triangle

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- Post author By Rik D. Tangerman
- Post date October 26, 2020
- No Comments on The Pentagon peaches

Five equally sized peaches are closely packed in a pentagon-shaped box. Their midpoints are the vertices of a smaller pentagon. What fraction is shaded?

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- Post author By Rik D. Tangerman
- Post date October 23, 2020
- No Comments on An Egyptian sunset

A semicircle touches a large equilateral triangle (area equals 9) at its apex and a smaller adjacent equilateral triangle (area equals 1) at its base as shown. What is the total red area?