A point 'P' is chosen inside an equilateral triangle of side length \(2014\) units and perpendiculars are drawn from this point to all three sides. Find the sum of these perpendiculars. If this can be expressed as \( a\sqrt b\) , find \(2(a+b)\)
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 over 5 million people
Learn from a vibrant community of students and enthusiasts,
including olympiad champions, researchers, and professionals.
Your answer seems reasonable.
Find out if you're right!