Relationship Between Orthic Triangle And Original Triangle?

Geometry Level 5

Let $ABC$ be a triangle with sides 13, 14 and 15. If the perimeter of its orthic triangle can be represented as $\dfrac {p}{q}$ , where $p$ and $q$ are coprime positive integers, what is the value of $p+q$ ?

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Relationship Between Orthic Triangle And Original Triangle?

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 7 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.