Pythagoras of Samos
Who is Pythagoras?
Pythagoras was an Ionian Greek philosopher, mathematician, and founder of Pythagorean. He was born in Samos, traveled a lot as a kid, and eventually moved to Croton where he set up a religious sect. His followers practiced his theories all the way until the downfall. Places of study were burned down, and Pythagoras was forced to leave the city. It is said that he died at age 75 in Metapontum.
What is the Pythagorean Theorem?
Pythagorean theorem is a theory in geometry that states that in a right-angled triangle the area of the square on the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares of the other two sides.
Algebra - Pythagorean Theorem
Starting the Wheel of Pythageorean
Finding the Center and Creating the Right Triangles.
To find the center of your wheel, you had to measure 27.5 from the left side of the poster, then measure 20.5 from the top. Next you had to make your triangles circling around the center dot. To make the right triangles you had to create a segment that is 10 cm across starting from the starting point and heading towards the center of the poster. Make this segment perpendicular to the side of the poster. Use your ruler to construct a congruent (10 cm) segment that is perpendicular to the original. This segment needs to be 20.5 centimeters from the top of the poster board starting at the right hand side of the 10 cm segment that you just drew.Connect the endpoints of the two segments to create a right isosceles triangle.
Making 17 Triangles
Finding a Design and Coloring the Wheel
Finished Pythagoras Wheel
What is a Right Triangle?
A right triangle is a 3 sided, two dimensional shape, with one 90 degree angle.
Squares of the Legs
By measuring a leg of a right triangle, you can find an imaginary box that would come off that side. You can then find that area of the box. The Pythagorean theorem states if you add the areas of both legs, it will equal the area of the hypotenuse.
What is a Square Root?
A square root of a number is a value that can by multiplied by itself to give the original number.