### Pythagoras

Saturday, February 21, 2009
This week, we were given an assignment about a Greek mathematician whose name was Pythagoras [Pie-th-a-gor-as]. Pythagoras, who in Mr. Harbeck perspective was uber smart. He was said to live in 582 B.c. We were given a list of vocabulary words that relate to Pythagoras.

Right triangle: - 90 degrees
- Has 3 sides
- Has a hypoteneuse

Square: - Has 4 sides
- All equal in length
- The angles are 90 degrees.

Legs: The shorter part of the right angle triangle.

Hypotenuse: The longer part of the right angle triangle.

R.A.T: The abbreviation of Right Angle Triangle, which is a triangle that has a right angle in the corner

Greek: A nation and ethnic group native to Greece.

Theorem: A theoretical statement representing something to be proved from other formulas.

Pythagoras' theory was called The Pythagorean Theorem. It stated that the sum of two squares (square a and b) equals a bigger square (square c). Those squares are related to the Pythagorean theorem. The equation for the theorem is a² + b² = c².

Pythagoras is important to us in grade 8 math because he created this formula.

c² - b² = a²
10² - 8² = a²
10x10 - 8x8 = a²
100 - 64 = a²
36 = a²
√¯36 = a
6 = a

a² + b² = c²

Square = 225 cm²
√¯225 = a
a = 15

The triangle's length and width is 15 cm².

a² + b² = c²
24² + 24²= c²
576 + 576 = c²
1152 = c²
√¯1152 = c
33.941 = c

These are videos that describe the Pythagorean theorem: