Categories
Intermediate

Il tricolore

Two squares share two vertices. A line segment connects two other vertices, forming the base of three triangles. What is the proportion green : white : red?

Categories
Advanced

Stuck in the middle

A right triangle with semicircles along its perpendicular sides having lengths a and b. Two smaller inscribed circles. What is the proportion blue : red in terms of a and b?

Categories
Beginner

The drunk spider

A circle with several chords forming four coloured triangles. What is the proportion yellow : purple?

Categories
Beginner

That hill

A triangle is divided in three smaller triangles. What is the proportion yellow : green?

Categories
Advanced

Eye of the apple

A circle with an inscribed triangle with an inscribed circle. The centre of the large circle is on the small one. What fraction of the area is blue?

Categories
Advanced

The ice cream cone

A circle tangent to a triangle side and to the two other extended sides. What is its diameter?

Categories
Intermediate

Similar intention

A cyclic quadrilateral and two diagonals. What fraction of its area is blue?

Categories
Beginner

The glass piece

A square and an overlapping isosceles triangle. What is the angle α?

Categories
Beginner

The red flag

Three squares of which two vertices are connected. If the red triangle has area 1.5 and the green square area 1, what is the side length x?

Categories
Beginner

The common point

Two equilateral triangles share a vertex. What’s the angle α?