A regular hexagon and a square share a vertex. What is the area proportion square : hexagon?
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The double bottom
Month: January 2023
A square contains a yellow right triangle with an area of 11. What is the square’s area?
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Çetins circle
A square, a semicircle and six line segments. What’s the angle α?
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The erratic spider
A square with several line segments. Prove that the blue ones are parallel.
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Black and blue
A square with an extended side inside another square. What fraction of the latter is blue?
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Mother and child
Two circles, two radii and three chords. What is the length of radius x in terms of a, b and c?
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Almost sunk
A square contains a right triangle. What fraction is red?
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The side mirror
An isosceles triangle and an external point with three line segments. Prove that the red points form a cyclic quadrilateral.
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The Santos conundrum
A triangle is divided by three line segments into five smaller triangles. What is its area expressed in terms of areas A, B and C?
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Two brotherly pines
Three triangles are glued together. The green ones are based on a common line. What’s the angle α?