A square diagonal is divided in three by a 45-degree angle. Two pieces are given, what is the length of the third?
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The divided diagonal
Tag: triangle
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The carambole
Three touching congruent circles inscribed in an equilateral triangle. A small equilateral triangle inscribed in the centre space. What fraction is blue?
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The eye of the beholder
A square and two equilateral triangles inside and touching a circle. What’s the angle α?
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The star of Bethlehem
Two concentric equilateral triangles with parallel sides. What fraction is orange?
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The christmas tree
A triangle, a median and another cevian. What is the proportion of the two areas?
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The bowtie
A square and two congruent isosceles triangles with variable top angle. What is the maximum fraction shaded?
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The inner triangle
A triangle and two medians. What fraction is shaded?
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The ace of diamonds
Four congruent right triangles form a rectangle. What fraction is red?
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The tip of the iceberg
A triangle with a 45° angle is placed inside a square as shown. What’s the area proportion of parts A and B?
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The radio telescope
A square contains two triangles. What fraction of the square do they cover?