An equilateral triangle containing a right triangle and a line segment. What fraction is pink?
Tag: triangle
The purple hat
A circle with three tangents forming an isosceles triangle. Two tangency points are shown. What is the proportion green : red?
The bell tolls
An equilateral triangle inscribed in a rectangle. What is its area X in terms of triangle areas A and B?
Under the volcano
A square containing a right isosceles and an equilateral triangle. What’s the angle α?
The Pisa experiment
Four squares and an altitude to the top vertex form a right yellow traingle. What is the proportion yellow : green?
The queen
A cyclic quadrilateral with extended sides and two tangents forming an angle γ. What is γ in terms of α and β?
Two hemispheres
A triangle with its circumscribed circle and a smaller intersecting circle. The two intersection points and the circumcentre are shown. What’s the proportion red : green?
Boxed in
A square with an inscribed right triangle. What fraction is yellow?
Napoleon strikes again
Three equilateral triangles and two line segments. Prove that the three red points are collinear.
An equitable portion
A square, its diagonals and a right triangle. What fraction is green?