Monday, March 17, 2008

Carl's Pythagoras Growing Post

Part 1:

The Pythegorean Triple is a right angle triangle that uses a set of numbers such as 1,2,3,etc. This set of numbers has to be a decimal, also this set of numbers has to satisfy a² + b² = c² For example, this set of numbers can be 3,4,5. Since 3² is equal to 9, 4² is equal to 16 and 5² is equal to 25. a² = 3 , b² = 4 , c² = 5²

Another example is 6²+8²=10².


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Part 3: You're locked out of your house and the only open window is on the second floor, 25 feet above the ground. You need to borrow a ladder from one of your neighbors. There's a bush along the edge of the house, so you'll have to place the ladder 10 feet from the house. What length of ladder do you need to reach the window?

Part 4:

There is a building with a 12 ft high window. You want to use a ladder to go up to the window, and you decide to keep the ladder 5 ft away from the building to have a good slant. How long should the ladder be?

1 comment:

spmath said...

a squared+b squared=c squared
5 squared+12squared=c squared
25+144=c squared
169= c squared
square root of 169= square root of c squared