Two equilateral triangles share a vertex. What is the area of their overlap region?
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Jingle bells
Tag: triangle
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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.
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The steam iron
The midpoints of the hypotenuse of a right triangle and a line segment are connected. What is the length x?
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David and Goliath
Two squares share a vertex. What’s the proportion blue : green?
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The major chord
A circle with four chords. What is the segment length x in terms of lengths a, b and c?
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The molecule
Three semicircles of which two centres are connected to corner points. What is the area X in terms of A and B?
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The hawfinch
An equilateral triangle with a circle tangent to two sides. The vertices are the tangency points. What is the length proportion of line segments x : y?
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The extra large
A triangle with a cevian splitting its base in parts of length 2 and 1. What is the angle α?