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Math Puzzle for March 29, 2024

Εὐκλείδης, better known as Euclid, remains the winnowing sieve of ninth graders

Alameda Post - a right triangle with an inscribed circle. The area of the triangle besides the circle is shaded [1]Above is a 30° − 60°−  90° triangle.
Within the triangle is an inscribed circle.
The three shaded regions have a total area of 92660.59926 square units.
Find the perimeter P of the 30° − 60° −  90° triangle.

P = _________ units

First correct answer sent to [email protected] [2] wins a gift card worth much ice cream at Tucker’s Ice Cream of Alameda.

Last week’s answers [3] were S = 149.50 feet/second and θ = 50.3838°

Jeff Smith is a former Math teacher and a retired US Navy Lieutenant Commander. Reach him at [email protected] [2].