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Math Puzzle for April 12, 2024

Isosceles running on the beach catches circle on the Lorna Dune

Alameda Post - acute Isosceles triangle with an inscribed circle [1]

Above is an acute Isosceles triangle.
Within the triangle is an inscribed circle.
The apex angle, at the top of the triangle measures 35.000528 °.
The area of the inscribed circle is 90 square units.
Find the area A of the Isosceles triangle.

A = _________ square units

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

Last week’s winner [3] was Madeleine Canavese with x = 22.496026691647103 cm.

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