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Math Puzzle for August 14, 2026

Yet another round of remedial Algebra 1 and Geometry lessons

Alameda Post - a purple circle is inscribed inside a 3-4-5 right triangle [1]

A circle is drawn, or inscribed, within triangle ABC. The circle is tangent to all three sides of ΔABC.

Side AB has a length of (5x − 7). Side BC has a length of (6x − 7). Side AC has a length of (7x − 10).

Find the area of the circle.

A correct answer sent to [email protected] [2]  might win a Tucker’s gift card.

Last week’s winner [3] was John Forakis with an angle of inclination of 31 degrees.

(Use of AI to solve this problem is strictly prohibited.)

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