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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Balancing balls
Tag: triangle
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The folded sheet
A rectangular sheet of paper is folded in such a way that two equal angles are formed as shown. What fraction of the resulting quadrilateral is shaded?
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Moon over mountains
A rectangular frame encloses two congruent equilateral triangles and a unit circle. What is difference between width and height of the rectangle?
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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?
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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?
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The tilted hourglass
In a square, a diagonal and a line segment cross at the center. They delimit a tilted hourglass. What fraction of the square is shaded?