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!

Comments

The blog is very informative and I want to share some information regarding area of triangle it is-
Area = ½ b × h
where b = base and
h = height
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