Two congruent squares inside a circle. The extended diagonals meet at the circle circumference. What’s their angle?
Tag: square
The drop shadow
Two congruent squares share a vertex. What’s the angle α?
The white flags
Three congruent squares and three shared vertices. What fraction is blue?
The divided diagonal
A square diagonal is divided in three by a 45-degree angle. Two pieces are given, what is the length of the third?
New Year 2021
Three squares are placed as shown. Given that the green areas are equal, what is the side length of the orange square?
Domino day
Three congruent rectangles consisting of two squares each are placed as shown. What is the blue area?
The eye of the beholder
A square and two equilateral triangles inside and touching a circle. What’s the angle α?
The bowtie
A square and two congruent isosceles triangles with variable top angle. What is the maximum fraction shaded?
The tip of the iceberg
A triangle with a 45° angle is placed inside a square as shown. What’s the area proportion of parts A and B?
The radio telescope
A square contains two triangles. What fraction of the square do they cover?