Four coloured rectangles and three line segments. Prove that the three line segments are concurrent.
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All connected
Tag: rectangle
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Ends of the spectrum
Two squares and a rectangle. Prove that red = blue.
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Nearly the same
Two rectangles are positioned with the side of each one along the diagonal on the other. Furthermore, two of their sides have the same length, as marked. What is the quotient of areas (A+B)/(C+D)?
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The blue lagoon
Five congruent brown triangles inside a rectangle. What fraction is brown?
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Rectangle offspring
Three rectangles of which the blue and the pink one are similar. Prove that the yellow rectangle is also similar.
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Lifting the veil
A blue triangle and a red rectangle with an extended side. Prove they have equal area.
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Stars on 45
A square containing a rectangle. What is the red fraction?
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Under the dome
Two semicircles with four squares and a yellow rectangle. What is the aspect ratio of the latter?
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Antennas above and below
The triangle ABC has orthocentre H, so that HA is an antenna above the green hill. The rectangle BCDE is inscribed in the circumcircle (ABC). Show that HA = CD = BE.
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Squaring a rectangle II
A square contains a red rectangle with an extended side. Prove that red=|AB||AC|+|BE||CD|. By Matthew Arcus.