Categories

## The double helix

Five equidistant parallel line segments. What’s the proportion green : red?

Categories

## The push-up

Two squares share a vertex. What’s the proportion x : y in terms of side lengths a and b?

Categories

## The triangle pull

An equilateral triangle with given distances between its vertices and an exterior point. What’s its side length x?

Categories

## Opposing camps

A square containing two overlapping equilateral triangles. What’s the length proportion a : b?

Categories

## Seeing double

Five circles, of which the green circles are congruent and so are the blue ones. If rblue : rgreen= 6, what’s rred : rgreen?

Categories

## Spiegel im Spiegel

A triangle with an inscribed triangle. What fraction of the former does the latter cover in terms of lengths a, b, c, d, e and f?

Categories

## The lever of Archimedes

Two congruent triangles are placed as shown. A line segment passes through the centroid of the yellow triangle. What’s the proportion a : b?

Categories

## The sacrosanct circles

Two tangent circles and two tangent line segments meeting in a point on the outer circle. The tangency points are connected by a line segment of length x. What’s x in terms of a and b?

Categories