There's an applic- therom for that

Geometry Level 4

\(\Delta ABC\) has side lengths \(4\), \(51\) and \(53\). Each of its sides are trisected and lines are drawn to each point of trisection from their corresponding angle. By doing this, a hexagon is created in the middle of the triangle. The area of this hexagon can be represented by \(p=x(x-1)(x-2)^2+x\) where \(x\) is an integer and \(p\) is the area of the hexagon. Find \(x\).

This problem is similar to one I posted previously but took down. This problem has different lengths and a different solution.

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.