### Pythagorean Theorem

9:44 AM

Mr. Harbeck was supposed to teach us a new unit, but he had an accident, and unfortunately forgot everything. So here's what I think the whole unit is about.

These are the four artifacts that were found in his backpack:

1) How are these artifacts linked?

a) The statue of a man's head is Pythagoras.
b) The shape with a little square in the corner, is called a right triangle.
c) The square is simply, just a square.
- all sides are equal
- you could tell if all sides are equal if there are four ticks on them
- has 4 right angles
- has 4 sides
- has a line of symetry
- two right triangles make a square
d) The formula is called the Pythagorean Theorem.

Pythagoras figured out a theorem, which was a2+b2=c2. That's why it's called the Pythagorean Theorem. In his theorem, he used right triangles and squares to figure out some math problems.

Here are some vocabulary that was found on a piece of paper:

a) legs
b) hypotenuse
c) R. A. T.
d) Greek
e) theorem

2) How could you use the vocabulary to explain the artifacts?

a) The legs are the two sides of a right triangle, that make a 90 degree angle.

b) The hypotenuse is the longest side of a right triangle, and/or the side that is opposite of the 90 degree angle.

c) A R. A. T. is a right angled triangle. Basically, a right triangle. (same thing)
d) Pythagoras is Greek.
e) Pythagoras' theorem is a2+b2=c2.
*label all three sides, a, b and c.*

3) What is the Pythagorean Theorem, and why does Mr. Harbeck care, in Grade 8 Math?

The Pythagorean Theorem is a2+b2=c2. It's basically a formula to calculate a side of a right triangle. When using this theorem, you'll be dealing with triangles, squares, areas, perimeters, and square roots. If you read my post carefully, you'll understand, but if not, I recommend that you find more sources.

I think Mr. Harbeck cares about this unit, so we could be prepared for Grade 9 Math, next year. I also have a feeling that we're going to be dealing with this stuff in the future.

4) Here are 2 problems that I'll show you how to solve:

Problem #1

This diagram shows the game plans for a game designed by Harbeck Toys INC. The board is made up of a square and 4 identical right triangles.
If the central square has an area of 225 square centimetres, what is the perimeter of the board game?

Problem #2

What is the perimeter of the orange triangle?

17 + 30.232 + 24.999 = 72.231 cm

Thanks for reading my Pythagoras Post (:

5) Here's my video with Elmane. Zerlina's part of our group but she couldn't do it with us.

#### 3 Responses to "Pythagorean Theorem"

March 1, 2009 at 6:12 PM
Good job! Melanie I like when you explained all the things in the picture and I also like when your group used only one video to explained 2 things good job!
January 18, 2010 at 7:38 AM
Thanks !
I found another link for this topic.
Student easily understand pythagoras' theorem through 3D animation video.
http://www.designmate.com/video_designmate_maths.html
March 6, 2015 at 6:45 AM
Couple of interesting extensions to Pythagoras theorem challenges