Is Using the Formula for the Inradius of a Right Triangle a Hidden Edge in Modern Design and Construction?

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Triangle Area Formula Using Sine at Paul Jamison blog

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Triangle Area Formula Using Sine at Paul Jamison blog
Equilateral Triangle Formula
Right Angled Triangle Formula
Pythagorean Theorem & Right Triangle Formulas | College Geometry
Pythagorean Theorem & Right Triangle Formulas | College Geometry

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Final Answer:** $ \boxed{2941680} $
Question:** A stack of 12 distinct cards is shuffled and dealt into 3 equal piles of 4 cards each. What is the probability that a specific card (say, the Ace of Spades) ends up in the first pile?
There are 12 distinct cards, and we deal them into 3 piles of 4 cards each.

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