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Intermediate

A nice percentage

An orange square and a blue rectangle with two congruent inscribed circles. What is the angle α?

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Solution

The angle α is 30°.

Solution by Kamran Zamani.

Poem

The percentage
A pure number
A safe number
A safe value
Denominator
And fraction
For increases
Or discounts
An exercise
Of additions
And subtractions
Geometric progressions
For volumetric
quantities
And what happens in love ?
Which is the unit of measurement?
100 percent

Bella

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One reply on “A nice percentage”

Since I learned this, it has been useful:

For a right triangle with sides a b and c,
Where c is the long side,
The diameter d of the inscribed circle satisfies d = a + b – c

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