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Math Puzzle for November 22, 2024

Breaking the law of cosines, even tangentially, is a sine

Alameda Post - a quadrilateral inscribed inside a circle. The points at which the quadrilateral touch the circle are A, B, C, and D, such that A is between B and D.

A quadrilateral is inscribed within a circle.
Side AB = 4x − 1, side BC = 5x − 4, side CD = 3x + 1, side DA = x + 7
The measure of angle ے CDA = 109.8830°.
Find the perimeter P and the area A of the quadrilateral.

P = ______ units   A = ______ units²

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

Last week’s winner was Adrian Flores (an EHS Grad) with Area = 113629.

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

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