The Pythagoras Theorem
The Pythagorean Theorem is one of the most fundamental and widely used
theorems in mathematics. It states that in a right triangle, the square of the
length of the hypotenuse (the side opposite the right angle) is equal to the
sum of the squares of the lengths of the other two sides. This theorem is
named after the ancient Greek mathematician Pythagoras, who is credited
with discovering it.
In this e-book we will examine the Pythagorean theorem in detail. We'll
start with a brief history of the theorem and its origins, and then move on to
some basic concepts related to right triangles.Then we deepen the theorem
itself by examining its various proofs and applications. We'll also look at
some real-world examples that use the theorem and end with interesting
facts and trivia about the Pythagorean theorem.
Chapter 1: A Brief History of the Pythagorean Theorem
Pythagoras theorem is named after the ancient Greek mathematician
Pythagoras, who is believed to have discovered it around 500 BCE.
However, the theorem itself may have been known to the Babylonians and
the Indians even earlier. The theorem is also found in the Chinese
mathematics text Zhoubi Suanjing, which dates back to the 3rd century
BCE.
Pythagoras and his followers, known as the Pythagoreans, were a religious
and philosophical sect that believed that the universe could be explained
through mathematics.The Pythagorean theorem was central to their
teachings and was taken as evidence of the harmony and order they
believed existed in the universe.
Chapter 2: Basic Right Triangle Concepts
Before we can fully understand the Pythagorean Theorem, we need to
understand some basic concepts related to right triangles. In this chapter
we will look at the definitions of the hypotenuse, sides and angles of a right
The Pythagorean Theorem is one of the most fundamental and widely used
theorems in mathematics. It states that in a right triangle, the square of the
length of the hypotenuse (the side opposite the right angle) is equal to the
sum of the squares of the lengths of the other two sides. This theorem is
named after the ancient Greek mathematician Pythagoras, who is credited
with discovering it.
In this e-book we will examine the Pythagorean theorem in detail. We'll
start with a brief history of the theorem and its origins, and then move on to
some basic concepts related to right triangles.Then we deepen the theorem
itself by examining its various proofs and applications. We'll also look at
some real-world examples that use the theorem and end with interesting
facts and trivia about the Pythagorean theorem.
Chapter 1: A Brief History of the Pythagorean Theorem
Pythagoras theorem is named after the ancient Greek mathematician
Pythagoras, who is believed to have discovered it around 500 BCE.
However, the theorem itself may have been known to the Babylonians and
the Indians even earlier. The theorem is also found in the Chinese
mathematics text Zhoubi Suanjing, which dates back to the 3rd century
BCE.
Pythagoras and his followers, known as the Pythagoreans, were a religious
and philosophical sect that believed that the universe could be explained
through mathematics.The Pythagorean theorem was central to their
teachings and was taken as evidence of the harmony and order they
believed existed in the universe.
Chapter 2: Basic Right Triangle Concepts
Before we can fully understand the Pythagorean Theorem, we need to
understand some basic concepts related to right triangles. In this chapter
we will look at the definitions of the hypotenuse, sides and angles of a right
