Two circles support a triangle. Prove it is equilateral.
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Caught in the middle
Month: February 2021
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The magic mirror
You are standing in front of a mirror. Your shoulder width is 50 cm and your eyes are 6 cm apart. What is the minimum mirror width for a stereo view of yourself?
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Daft Mouse
A square with two attached regular pentagons. A side and a diagonal are extended. What’s the angle?
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The colour of spring
A square with a diagonal and a right angle. Two areas are given. How large is the pink area?
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The monk’s hood
Two similar triangles inside a semicircle. What’s the angle?
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Mars rover has landed
Two semicircles and two right triangles. What fraction of the large triangle does the small one cover?
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Two hefty volumes
Two congruent rectangles inscribed in a square. What fraction of the area is blue?
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Ménage à trois
Three equilateral triangles of which two are congruent. Are the three points collinear?
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The flying banner
A triangle with a quadrilateral that covers half its area. What is the angle?
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Mini and Maxi
Two squares of area 1 and 4 are inscribed in their own triangle and placed as shown. What fraction is coloured?