Too Many Circles, Too Distracting

Geometry Level 5

Let \(I, I_a, I_b\) be the incenter, \(A-\) excenter, \(B-\) excenter respectively of a triangle \(\triangle ABC\) with side lengths \(AB= 5, BC= 7, CA= 8.\) Let \(R\) be the circumradius of \(\triangle II_aI_b.\) Find \(\sqrt{3}R.\)

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100 Day Summer Challenge

Too Many Circles, Too Distracting

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100 Day Summer Challenge

Too Many Circles, Too Distracting

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, conceptual quizzes.

Our wiki is made for math and science

Master advanced concepts through explanations, examples, and problems from the community.

Used and loved by 4 million people

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

Master advanced concepts through explanations,
examples, and problems from the community.

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

Master advanced concepts through explanations,
examples, and problems from the community.

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