Once upon a time, there was a magical land with many shapes and figures. The most distinct shape in the land was a triangle. This triangle was special because all its sides were of equal length and its interior angles were also equal. It was called an equilateral triangle.

One day, a little girl came across this equilateral triangle and she wanted to explore it further. She noticed that the triangle had a diagonal line connecting two opposite corners. She then realized that the distance between the two diagonals was always the same, no matter how big or small the triangle was. So, she named it an "equidistant" line.

The little girl also noticed that if she drew a horizontal line inside the triangle, it would touch all three sides at the same point. She called this point the "inscribed" point.

The little girl was fascinated by this equilateral triangle and its properties. She decided to take it with her on all her adventures. She made sure that it was fixed in her backpack so she could always carry it with her.

From that day on, the little girl and the equilateral triangle explored many new lands and met many new shapes. But the triangle remained her favorite and she always kept it close to her heart.

Reflections

• What makes the equilateral triangle special?
• What is an equidistant line and what is its significance?
• What does the little girl name the point where a horizontal line touches all sides of the triangle?
• Why did the little girl take the equilateral triangle with her on her adventures?