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## Triangle Inequality – Mathematical Circles – Problem No. 5

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

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...

## FERMAT POINT

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?

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 | A Comprehensive Guide

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...

## RMO 2019 Maharashtra and Goa Problem 2 Geometry

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...