A geometry problem by Brilliant Member

Geometry Level 1

Circle \(O\) is inscribed in \(\triangle ABC,\) as shown in the figure above. The points of tangency are at \(D,E,\) and \(F\). Given that \(AD=2\) and \(DC=3\), find the area of \(\triangle ABC\).

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A geometry problem by Brilliant Member

Excel in math and science

Master concepts by solving fun, challenging problems.

It's hard to learn from lectures and videos

Learn more effectively through short, interactive explorations.

Used and loved by over 5 million people

Learn from a vibrant community of students and enthusiasts, including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.

Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.