Rhombus

Geometry Level 3

A rhombus \(ABCD\) has sides of length 10. A circle with center \(A\) passes through \(C\) (the opposite vertex.) Likewise, a circle with center \(D\) passes through \(B\). If the two circles are tangent to each other, what is the area of the rhombus?

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Rhombus

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 6 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.