### Pythagoras

Saturday, February 21, 2009
This week we were all given an assignment about a mathematician named Pythagoras, and his theorem Pythagorean Theorem.

Pythagoras: The greatest genius ever lived... A "uber" smart mathematician also philosopher from Greek. But, nobody knows for sure if he EVER existed because nobody has found any evidence about his existents.

For this assignment we were also given a list of (important) vocabulary words;

• 1.Legs

• 2.Hypotenuse

• 3.R.A.T

• 4.Greek

• 5.Theorem

Legs: The legs are shorter than the hypotenuse. They create the "right" angle in the triangle. The legs are located on either side of the triangle (All triangles have TWO legs)

Hypotenuse: The longest side of the "right" triangle, and is the opposite side of the right angle.

R.A.T: Which is the meaning of Right Angle Triangle.

Greek: A person born or living in ancient or modern Greece.

Theorem: A formula or perhaps a theory that can be proved.

Pythagoras created a theorem of his own. His "created" theorem was called the Pythagorean Theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)

Also for this assignment we are suppost to explain the artifacts Mr. Harbeck had posted for us.

-Pythagorean Theorem (One of the artifacts)

As I said above, Pythagoras was the one to create this theorem. Pythagorean Theorem: The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)

This artifact is also known as a right triangle, or so R.A.T (Right Angle Triangle) The right triangle has a 90° angle, which is the little square inside the triangle in the corner. Together the triangle is in total 180°

Now, this artifact, as you can see is a plain square, The lines on each of the 4 sides show that each of those sides are equal to the others. This square has 2 right triangles, which looks like the first artifact. Also, this square has 4 90° angles... So, the angles equal to 360° To get that you go 90°x 4 = 360°

These pictures/artifacts are linked and connected because it all just has to deal with his theorem called PYTHAGOREAN THEOREM, and PYTHAGORAS himself!

The vocabulary helped to explain the artifacts because... as I said, it all has to do with the theorem, and Pythagoras.

YES, we DO care about Pythagoras, and his theorem in grade 8 math because he created this formula.

Now, we are suppost to solve 2-3 word problems.
Word Problem: Any mathematics problem expressed as a hypothetical situation explained in "words".

PROBLEM ONE: This problem is telling us to find the base of the triangle.

Solve:

c²- a²= b²
10²- 8²= b²
(10x10)-(8x8)= b²
100- 64= b²
36= b²
√36= b
6= b

PROBLEM TWO :

SOLVE:

a² +b²= c²
17²+ b²= 914²
b²= 914² - 17²
b²= 835396 - 289
b²= 835107
√b= √835107
b= 913.841