A triangle, a median and another cevian. What is the proportion of the two areas?
The bowtie
A square and two congruent isosceles triangles with variable top angle. What is the maximum fraction shaded?
The inner triangle
A triangle and two medians. What fraction is shaded?
The ace of diamonds
Four congruent right triangles form a rectangle. What fraction is red?
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 hunting horn
Two semicircles and four tangents. What’s the area of the orange rectangle?
The rubber rotation
Two overlapping rectangles. What is the proportion of their areas? All triangles in the diagram are right.
The radio telescope
A square contains two triangles. What fraction of the square do they cover?
The Post-it note
Two unit squares (having side 1) are placed as shown. What is the total perimeter of the two red triangles?
The warning triangle
An equilateral triangle contains three congruent rectangles. Two distances on its base are given. What fraction is white?