Carl+P,+Erece+F,+Kadille+N.

=[|Pythagoras]= media type="custom" key="809331" toc

Animoto
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Pretest
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Pythagorean Triple
Pythagorean Triple consists of three positive [|integers] //a//, //b//, and //c//, such that //a//2 + //b//2 = //c//2. Such a triple is commonly written (//a//, //b//, //c//), and a well-known example is (3, 4, 5). If (//a//, //b//, //c//) is a Pythagorean triple, then so is (//ka//, //kb//, //kc//) for any positive integer //k//. A **primitive Pythagorean triple** is one in which //a//, //b// and //c// are [|coprime]. The name is derived from the [|Pythagorean theorem], of which every Pythagorean triple is a solution. The converse is not true. For instance, the [|triangle] with sides //a// = //b// = 1 and //c// = √2 is right, but (1, 1, √2) is not a Pythagorean triple because √2 is not an integer. Moreover, 1 and √2 do not have an integer common multiple because √2 is [|irrational]. There are 16 primitive Pythagorean triples with //c// ≤ 100: (wikipedia info) more information at http://en.wikipedia.org/wiki/Pythagorean_triple
 * ( 3, 4, 5) || ( 5, 12, 13) || ( 7, 24, 25) || ( 8, 15, 17) ||
 * ( 9, 40, 41) || (11, 60, 61) || (12, 35, 37) || (13, 84, 85) ||
 * (16, 63, 65) || (20, 21, 29) || (28, 45, 53) || (33, 56, 65) ||
 * (36, 77, 85) || (39, 80, 89) || (48, 55, 73) || (65, 72, 97) ||

I am a right Triangle
A circle is always 360 degrees and can be divided into four quadrants to get 90 degree angle.

the right triangle always points to the hypotenuse. the legs of a right triangle can be labeled a and b. it does not matter which leg is labeled a or b but th hypotenuse is always labeled c. area of triangle = ab/2



a x a this leads to our theory - the Pythagorean theorem states that the legs of a right triangle (a and b) and the hypotenuse obey the following relationship a*+b*=c*
 * = 2 (square exponent) //it cant be shown because it is not available in this wiki site.//

a Pythagorean triple is a right triangle that uses a set of numbers (1,2,3,...etc.) that satisfy a*+b*=c*

Pythagorean Theorem
this is a Pythagorean triple that uses a set of numbers.

-this diagram show how to set the hypotenuse. it uses the theorem by showing each legs into a square figure and by adding a and b side.

this diagram shows that when b square overlapped the c square, the remaining space is equal to a square which shows that a + b is c.

Problems
1. Mr. H jumped into a canoe to cross a river that runs east to west and is 20m wide. the current carried him downstream. how far did he travel in total?

2. LeFrog stands 1.5 m from a wall where a fly sits 2m high. If LeFrog's tongue leaves his mouth 70 cm from the ground, how far does his tongue have to stretch to trap and eat the fly?

3. You're locked out of your house and the only way is to enter into the open window on the second floor, 25 feet above the ground. You need to borrow a ladder 10 feet from the house. What length of the ladder do you need to reach the window?

Mini Video Teaching
media type="custom" key="800897" more problems at [|http://kadilledave.webs.com/wordproblems.htm)]

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