Two equilateral triangles share a vertex. What is the proportion red : green?
Categories
Down to earth
Tag: area
Categories
The sand heap
Two squares share a vertex. Three other vertices form a triangle, of which one side length is given. What is its area?
Categories
The full circle
Two squares of area D and J share a vertex while the circle passes through four other vertices. What is the area of the latter in terms of D and J?
Categories
The residue
A parabola is tangent to two sides of a square and to the hypotenuse of an isosceles triangle. The three tangency points are shown. What fraction of the square is green?
Categories
Down the tree
Two overlapping congruent isosceles triangles. What fraction of the total area is green?
Categories
The leftover package
An isosceles triangle with an inscribed square and three triangles. What is the proportion black : red?
Categories
Jingle bells
Two equilateral triangles share a vertex. What is the area of their overlap region?
Categories
The crowded house
Three circles are inscribed in a rectangle. What is the area X in terms of A and B?
Categories
Lost in rotation
Four equilateral triangles inscribed in a fifth one. What fraction of the latter is coloured?
Categories
The dog ear
A square contains a triangle. What fraction of the square is red?