Pythagorean Theorem By Gibran Carter About Pythagoras is

Pythagorean Theorem By: Gibran Carter

About Pythagoras is often referred to as the first pure mathematician. He was born on the island of Samos, Greece in 569 BC. Various writings place his death between 500 BC and 475 BC in Metapontum, Lucania, Italy. Pythagoras well educated, and he played the lyre throughout his lifetime, knew poetry and recited Homer. He was interested in mathematics, philosophy, astronomy and music, and was greatly influenced by Pherekydes (philosophy), Thales (mathematics and astronomy) and Anaximander (philosophy, geometry). Pythagoras studied odd and even numbers, triangular numbers, and perfect numbers. Pythagoreans contributed to our understanding of angles, triangles, areas, proportion, polygons, and polyhedra. Pythagoras also related music to mathematics. He had long played the seven string lyre, and learned how harmonious the vibrating strings sounded when the lengths of the strings were proportional to whole numbers, such as 2: 1, 3: 2, 4: 3. Pythagoreans also realized that this knowledge could be applied to other musical instruments.

The Formula In any right-angled triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).

How is the Pythagorean Theorem applied to every day life? v. Architecture and Construction v. Navigation v. Earthquake Location v. Crime Scene Investigation v. Arrow & Missile Trajectory

Objectives Students will learn: v. How to solve an equation using the Pythagorean Theorem v. How to recognize a right Triangle v. Able to locate where the hypotenuse is

Fact: v The longest side of the triangle is called the "hypotenuse" If we know the lengths of two sides of a right angled triangle, we can find the length of the third side. (But remember it only works on right angled triangles!)

What is a right triangle? A right triangle or right-angled triangle is a triangle in which one angle is a right angle (that is, a 90 -degree angle). The relation between the sides and angles of a right triangle is the basis for trigonometry.

Here is the equation:

How do I use the equation to solve the problem? First, you will write the equation down

The steps of the Theorem: a 2 + b 2 = c 2 52 + 122 = c 2 25 + 144 = c 2 169 = c 2 = 169 c = √ 169 c = 13