Monday, March 17, 2008

Cedric's Pythagoras Growing Post

Part 1:
Describe what a Pythagorean Triple is and use your perfect square chart from 1 squared to 10 squared to find another one other than 3,4,5. (Note: You need a picture, not simply text.)

A Pythagorean Triple is that 2 side lengths (also called legs- A and B) added together
equals the hypotenuse (C). Also they use perfect squares to figure the hypotenuse.
(Means no decimal answers, just a whole number) It satisfies the solution:
a squared(a2) + b squared (b2) = c squared (c2)

A Pythagorean Perfect Square Chart.

Part 2:
Using embeddable web 2.0, describe how to find the missing side of a Right Triangle using the Pythagorean Theorem, show how to solve both for a missing leg and the hypotenuse (note: you may use numerical examples ie. a=4 b=6 c=?)

First we take 2 numbers (a=6 and b=8) and solve it. Take both a and b and make it
a squared + b squared =c squared. In numbers: 6 squared + 8 squared = c squared
6 x = 36 and 8 x 8 = 64. Add them together because it has to satisfy
a squared + b squared =c squared.
36 + 64 = 100. 100 goes into 10. So C = 10 and C squared equals 100.

Here is a picture on what it looks like.
I used a picture cuz my bubbleshare and any other embbed thingies wont work. Ill change it when they start working. >.>

Part 3:
Explain how to solve a Pythagoras word problem. Use one of the examples we covered in class
(Worksheet A, B, LeFrog or Bonus Problem).

You're locked out of your house and the only open window is on the second floor, 25ft above the ground. You need to borrow a ladder from one of your neighbours. There's a bush along side the edge of the house, so you'll have to place the ladder 10ft from the house. What length of ladder do you need to reach the window?

What you already know.

-House to the second floor window is 25 ft.

-Ladder is 10ft from house.

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