A semicircle and a square. Three secants and a tangent form two triangles. What is their area proportion?
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Up and down
Tag: proportion
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The attic room
A blue square is topped with a right triangle. Using line segments to the top, a green quadrilateral is constructed with at least two right angles. What is the area proportion green : blue?
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Tall and wide
An equilateral triangle inscribed in a square. What’s the proportion of the red to the blue area?
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The butterfly effect
Two touching circles and two lines passing through the tangency point. What is the area proportion of the two triangles?
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An Italian hill
Two semicircles inside a rectangle. What is the proportion of the red to the green area?
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The christmas tree
A triangle, a median and another cevian. What is the proportion of the two areas?
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The tip of the iceberg
A triangle with a 45° angle is placed inside a square as shown. What’s the area proportion of parts A and B?
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The rubber rotation
Two overlapping rectangles. What is the proportion of their areas? All triangles in the diagram are right.
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The goblet of fire
A circle containing two touching semicircles. What is the proportion of the circle diameter a to the line segment b?
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The sundial statement
A triangle is formed by a circle radius and an external point. It is divided by the shown chord. What’s the proportion of the angles α and β?