I and O are the incenter and circumcenter of a triangle ABC so that the measure of the angle
BIO is 90 degree. Prove that the area of the triangle AIC is one-third the area of
the triangle ABC.

See also:

Art of problem 1442, Generative Sketching.

Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.

A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.

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Ten problems: 1411-1420

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90 Degrees

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