Two squares share a vertex. What’s the proportion blue : green?
Categories
David and Goliath
Categories
The major chord
A circle with four chords. What is the segment length x in terms of lengths a, b and c?
Categories
The molecule
Three semicircles of which two centres are connected to corner points. What is the area X in terms of A and B?
Categories
A close encounter
Two semicircles are tangent to each other’s diameter. Are the line segments connecting their corners parallel?
Categories
The hawfinch
An equilateral triangle with a circle tangent to two sides. The vertices are the tangency points. What is the length proportion of line segments x : y?
Categories
The core business
Two squares with two highlighted vertices and a centre. Prove that these points are collinear.
Categories
The square telescope
Three squares and four extended sides. What is the yellow area X in terms of blue and green areas A and B?
Categories
The extra large
A triangle with a cevian splitting its base in parts of length 2 and 1. What is the angle α?
Categories
The tipping point
Two touching circles, two diameters and two common tangents. What is the area of the green quadrilateral in terms of radii x and y?
Categories
The crown
Three triangles have the same base. What is the top angle γ of the middle one in terms of the other ones α and β?