A square containing a rectangle. What is the red fraction?
Categories
Stars on 45
Tag: rectangle
Categories
Under the dome
Two semicircles with four squares and a yellow rectangle. What is the aspect ratio of the latter?
Categories
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.
Categories
Squaring a rectangle II
A square contains a red rectangle with an extended side. Prove that red=|AB||AC|+|BE||CD|. By Matthew Arcus.
Categories
Wings
Two wings are attached to the corner of a rectangle, and have corners lined up with the diagonal of the rectangle. The angles at the lower wing tips are equal. Must α = β at the left wing tips?
Categories
No laughing matter
Two squares share a vertex. Each square contains a coloured rectangle with extended side. What’s green : blue? By Matthew Arcus.
Categories
Mind the steps
Three similar rectangles and a line segment. Express red in terms of blue and green.
Categories
In times out
What is the area of the green rectangle, which has sides tangent to the incircle and circumcircle of a triangle with side lengths a, b, c.? (Write the answer as a multiple of a quotient of two elementary symmetric functions in a, b, c.)
Categories
Four six four
A regular hexagon and two similar rectangles. What fraction is green?
Categories
Six four
A regular hexagon and an inscribed tilted rectangle. What is the angle α?