Two rectangles share a vertex. Two line segments connecting opposing vertices and the common side intersect in a single point. Prove that the rectangles are similar.
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The miniature version
Tag: rectangle
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The kingsize bed
A rectangle with an inscribed right triangle. What is ac/bd?
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The obstructed view
A rectangle and two squares of side length a and b respectively. What is the red area in terms of a and b?
A square containing a rectangle and a tangent quarter circle. What fraction is orange?
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The freight elevator
Four points A, B, C and D form a quadrilateral. Prove that it is a rectangle if and only if for an arbitrary point P we have PA2+PC2=PB2+PD2.
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The red sash
Two squares and a rectangle. What is area of the rectangle in terms of square sides a and b?
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The dome tent
A rectangle with a diagonal and an inscribed semicircle. What is red : green : blue?
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The crowded house
Three circles are inscribed in a rectangle. What is the area X in terms of A and B?
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The letter box
A rectangle with a diameter and two inscribed squares. What is its area in terms of the square areas A and B?
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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.