Categories
Beginner

Ice cube II

A square with an extended side. What’s the angle α?

Categories
Intermediate

Rule of 72

Two triangles and an extended side. What’s blue : orange?

Categories
Advanced

The hawfinch II

A circle with two tangents. What’s red : blue in terms of α?

Categories
Beginner

The odd balance

Two circles are tangent to two perpendicular lines and have their centres connected. Prove that the green triangle is right isosceles.

Categories
Intermediate

The stack

Three squares and three line segments. What’s the angle α?

Categories
Intermediate

The lorgnette

An ellipse, two circles centred in its focal points, a chord and a tangent. What is the angle α?

Categories
Advanced

Count to five

A triangle with a cevian. What’s α?

Categories
Intermediate

The sandal

A triangle with two angular bisectors. What’s the proportion blue : red?

Categories
Beginner

Sliding down II

A quarter circle and a square. What’s the angle α?

Categories
Intermediate

Meeting halfway

Two squares and three line segments. What’s the angle α?