Three squares and three shared vertices. Prove the three red vertices are collinear.
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Points of authority
Tag: square
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The crane
A triangle with an inscribed square. What fraction is yellow?
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The balancing block
A rectangle inside a square. One of its sides is tangent to the quarter circle. What fraction is green as x approaches 0?
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The awning tent
A right triangle with an inscribed square. What is the area of the triangular part on the right?
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Downsizing
Two squares share a vertex. The small square has an area of 20 and the triangle has area 1. What is the area of the large square?
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The triangle quartet
A square is divided into four triangles. The red area equals the blue area. What is the angle α?
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The corner stone
Four squares inside another square. What fraction is yellow?
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The bigger picture
In a small square two perpendicular lines are drawn. A larger parallel square is constructed as shown. Prove it is a scaled copy of the smaller square but rotated 90° anticlockwise.
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The bolete
Two semicircles and a square. If the smaller diameter is 24, what is the larger?
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The mouse and the elephant
Two squares and a semicircle of diameter 4. What is the total square area?