A square inscribed in a triangle. Two areas are given. What is the square’s area?
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The hammock
Tag: square
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Lazy Friday
Four congruent squares plus another one. What is the angle α?
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The fez
A circle and a semicircle inside a square. What’s the length proportion of the two chords?
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The orange belt
Three squares and three shared vertices. Prove that the orange quadrilateral is in fact a parallelogram.
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The cleaver
Four squares, a rectangle and a circle. What is the proportion brown : grey?
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The green field
A square is divided in two quadrilaterals of given area. What fraction of the square’s perimeter is red?
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The twin triangles
Two squares share a vertex. Prove that the red triangle is congruent to the blue one.
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Ice cube
A rectangle and a square. What is the proportion purple : blue?
Four quarter circles of radius 1, each containing a square. What is the blue area?
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The headphones
A unit square, a semicircle, a right triangle and an isosceles triangle. What is the total purple area?