## Sunday, March 23, 2008

### Katarina's Pythagoras Growing Post

Part One

Task: 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.

What is a Pythagorean Triple?
A Pythagorean Triple is a theory that states that the two side lengths of a right angle triangle(a & b) added together equal the hypotenuse(c). A² + B² = C²

Perfect Square Chart

When you look at the chart, you have to find which two perfect squares added together will equal another perfect square.
You can find that 6² + 8² = 10².

Part Two

Task: 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=?)

Part Three

Question: 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 do you know?

>The Window is 25 ft above the ground

> There is a bus that goes out 10 ft on the ground

>You have to lean the ladder on an angle to get it to the house

>You're trying to figure out how long the ladder is

Picture:

Part Four

You are stuck in a hole with an unconscious cannibal. You have to find a way to escape before the cannibal wakes up. The hole is 8m deep, so there’s no way you can climb out by yourself, so you look around and notice that there is a ladder laying on the ground beside you. You can’t lean the ladder directly against the wall because there is a pit of acid that is 4m long around the whole pit, kind of like a mote. So you have no choice but to lean the ladder 4m back. The ladder is long enough for you to get to the top of the hole. How long is the ladder?