Individual interests and collective interest join hands at the local paper
Depicted above is a right triangle with legs a and b, and hypotenuse c. The triangle is circumscribed by the outer, larger circle. Inscribed within the triangle is a smaller, inner circle.
The area of the outer, larger circle is six times the area of the smaller, inner circle. Side a has a length of 39.
Find the area of the larger circle and the area of the triangle.
A correct answer sent to [email protected] may win a Tucker’s Gift Card.
Last week’s winner was James Forakis with d = 258 kilometers.
(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].

