### Triangle problem

I'm reposting here a nice triangle problem with the permission of Antonio Gutierrez from GoGeometry.com

The figure shows a right triangle ABC. The inscribed circle and the hypotenuse are tangent at D. If AD = 2, and CD = 3, find the area of triangle ABC.

The solution is now posted here!

The figure shows a right triangle ABC. The inscribed circle and the hypotenuse are tangent at D. If AD = 2, and CD = 3, find the area of triangle ABC.

The solution is now posted here!