Math Puzzle for May 31, 2024

May you live in blissful times—doing math problems between the Isle of Tedium and the Ennui Atoll

Alameda Post - a rectangle is inscribed within a right triangle laying on its hypotenuse, with points labled E, F, and G. The upper left corner of the rectangle, labeled A, is midway between E and F. The other corners of the rectangle are labeled B, C, and D.

In the diagram above, rectangle ABCD has an area of 360.
Diagonals AC and BD each have lengths of 41 meters, furthermore, AE = AF.
Find the measure of angle AED and the area of triangle EFG.

m ے AED = _________°     Area Δ EFG = _________

The first correct answer to arrive at [email protected] wins a gift card worth ice cream for two at Tucker’s Ice Cream of Alameda.

Last week’s winner was Chris Clifford with A = 337 square meters.

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