Express the circle area in terms of the isosceles triangle area A and its side length a.
Author: Marshall W. Buck
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Launch the ball
Category: Beginner
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Bond of union
Two intersecting circles with two inscribed triangles and two line segments through an intersection point. Prove that the triangles are similar.
Co-author: Marshall W. Buck.
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A tight squeeze
Two intersecting circles inside a rectangle and a line segment connecting vertex, intersection point and tangency point. What’s the angle α?
An equilateral triangle and three line segments. What’s the angle α?
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The douche cabine
A square containing three smaller squares and a quarter circle. What fraction is orange?
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The quarter trampoline
A quarter circle with two chords of given length. What is the area of the orange quadrilateral?
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Outside the hive
A regular hexagon and two squares. What’s the angle α?
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Egg basket II
What fraction of the regular hexagon is yellow?
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Draw the line
A square and an equilateral triangle inside a right triangle. Prove that the three red vertices are collinear.
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Another angle
Three congruent squares share three vertices. What’s the angle α?