A triangle containing three tangent semicircles with diameters a, b and c. Three line segments pass through the red tangency points. What is the triangle perimeter?
Tag: length
At navel level
Two equilateral triangles share a vertex. The centre of the larger one is aligned with the midpoint of a side of the smaller one. What is green : red?
The common focus
A parabola, its symmetry axis and a tangent. Yellow connects the focus to the intersection point. Red connects the focus to the tangency point. What’s yellow : red?
The purple hat
A circle with three tangents forming an isosceles triangle. Two tangency points are shown. What is the proportion green : red?
Two hemispheres
A triangle with its circumscribed circle and a smaller intersecting circle. The two intersection points and the circumcentre are shown. What’s the proportion red : green?
The wedge
A trapezium with its inscribed circle. Two tangency points are shown. What’s red / blue – yellow / green?
The green deal
Three squares, one of which has a side length of 2. What is the green area?
Slightly skewed
Two overlapping equilateral triangles with side lengths 1. What is the total red length?
Overhanging rock
A rectangle with three line segments. What’s the proportion red : yellow?
Emerging from water
Two squares and an extended side. What’s red : green : pink?