Math Puzzle for June 28, 2024

As triangles are raining down from heaven, aspidistras are popping up from the ground

Alameda Post - an image of a stack of right triangles. Eight right triangles are stacked on top of one another, wedging together. Above the stack of eight, ten more right triangles continue the pattern but are separated from one another, floating one on top of the other. The bottom triangle at the base of the stack appears largest, and the top floating triangle appears smallest

Above are cascading 30° – 60° – 90° triangles of diminishing size, piling up.
The base triangle, being the largest, has an area of 15,706 square nanometers.
Find the total area A of all the triangles when they “finish” accreting.

A = _________ square nanometers

The first correct answer sent to [email protected] wins a Gift Card worth much ice cream at Tucker’s Ice Cream in Alameda.

Last week’s winner was Madeleine Canavese with A = 129.19 m²

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

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