Two equilateral triangles share a vertex. What is the proportion red : green?
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Down to earth
Tag: triangle
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?
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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?
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Mind the gap
A regular hexagon with an equilateral triangle sharing a vertex and having a vertex somewhere along the opposite side. What is the maximum length of line segment g?
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Down the tree
Two overlapping congruent isosceles triangles. What fraction of the total area is green?
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The leftover package
An isosceles triangle with an inscribed square and three triangles. What is the proportion black : red?
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Jingle bells
Two equilateral triangles share a vertex. What is the area of their overlap region?
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Lost in rotation
Four equilateral triangles inscribed in a fifth one. What fraction of the latter is coloured?
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The dog ear
A square contains a triangle. What fraction of the square is red?
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The tornado
A quadrilateral covers exactly half of the area of a rectangle. Find the length x in terms of a, b and c.