Introduction to Geometry 📐
Geometry is a branch of mathematics that deals with shapes, sizes, and the properties of space. It's an ancient field with origins tracing back to early civilizations.
Basic Concepts
- Point: A location in space. It has no size, area, or dimension.
- Line: A collection of points extending infinitely in two directions.
- Plane: A flat, two-dimensional surface extending infinitely.
Fun Fact
Did you know that the study of geometry was formalized by the ancient Greeks? Euclid, often referred to as the "Father of Geometry", wrote a set of books called "The Elements".
Practice Problem
Calculate the area of a triangle with a base of 5 cm and a height of 3 cm. Give it a try and then check the answer below!
Answer
The area of the triangle is \( \frac{1}{2} \times base \times height = \frac{1}{2} \times 5 \times 3 = 7.5 \) cm².