Try this beautiful problem from Mathematical Circles book based on Triangle inequality. Problem : Find a point inside a convex quadrilateral such that the sum of the distances from the point to the vertices is minimal . Key Concepts Triangle Inequality Inequality...

Cubes and Rectangles – Math Olympiad Hanoi 2018 Try this beautiful problem from Math Olympiad Hanoi, 2018 based on Cubes and Rectangles. Find the number of rectangles can be formed by the vertices of a cube. 681812 Key Concepts Geometry Permutation Combination...

ABC is a Triangle and P be a Fermat Point Inside it.draw three equilateral triangle based on the three sides i.e$\triangle ABA’$, $\triangle ACC’$, $\triangle BCB’$ respectively.Join $AB’$,$BC’$ and$CA’$ .Show that $...

Can we Prove that …….. The length of any side of a triangle is not more than half of its perimeter Key Concepts Triangle Inequality Perimeter Geometry Check the Answer Answer: Yes we can definitely prove that by Triangle Inequality Mathematical Circles...

Math Olympiad in India The Math Olympiad Program in India aims to encourage the students interested in Mathematics. It nurtures their talent through healthy competition among pre-university students in India. This programme is one of the major initiatives undertaken...

Understand the problem Given a circle , let be a point in its interior, and let be a line passing through . Construct with proof using a ruler and compass, all circles which pass through , are tangent to , and whose centres lie on . Source of the problem RMO 2019...