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 tip of the iceberg
Tag: proportion
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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?
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The wheelbarrow
A circle and two semicircles are nested as shown. What’s the proportion of their respective radii a : b : c ?
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The Pacman principle
In a circle, two congruent chords are connected in a point. A line segment is drawn through the circle center as shown, forming two angles. What is the proportion α : β?
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The blue diamond
Two isosceles triangles are placed as shown. What is the proportion of the line segments a and b?