# Olympiad Corner: A Triangle Inside A Square

An equilateral triangle is drawn inside a unit square. How can we find its area?

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## Olympiad Corner: A Triangle Inside A Rectangle

A triangle is drawn inside a rectangle and you are asked to find its area. How do you do it when the dimensions of the…

## Olympiad Corner: Circle Inside, Circle Outside

A circle is inscribed in a triangle. And a circle is circumscribed about the same triangle. What is the ratio of their radii? Note that:…

## Olympiad Corner: An Expression Under The Square Root

Find the product of four consecutive numbers. Add 1 to this product. Extract the square root of this expression. What is the value? How to…

## The Square Root Of 2 Is Irrational. And Here Is The Simplest Proof!

The square root of 2 is irrational. That means there exists no fraction equivalent to the exact value of root 2. We can establish this…

## Five Parts Problem: Part 2

A square is divided into five parts of various lengths. Each part is a rectangle of same area. Width of one such rectangle is 2…