## Sunday, March 16, 2008

### Jomarie's Pythagoras Growing Post

PART1) A Pythagorean Triple is a right triangle that uses a set of numbers (1,2,3 ect..) that satisfy a2+b2=c2. a=3+b=4=c=5

Another example is 6squared+8squared=10 squared. To prove that:

6 squared = 36 plus 8 squared (which equals 64) = 100 (which is the same as 10 squared)
36+64=100

1x1=1

2x2=4

3x3=9

4x4=16

5x5=25

6x6=36

7x7=49

8x8=64

9x9=81

10x10=100

PART2)

Part3) Worksheet B

Question:
You've just picked up a ground ball at first base, and you see the other team's player runnig towards thrid base. How far do you have to throw the ball to get it from first base to thrid base, and runner out? The answer is.....

First I drew the picture of the whole baseball field. We know we have to go to first base to third so I ignored the second base, which is seen above and we also know that home to first base and third base is 90 FT (they are the leg). So, we just have to find out what the hypotenuse is. This is how I solved it:

First write the theoream: a2 + b2 = c2, then you can do the rest of the work.

a2 = 90, b2 = 90 and c2 =?

90 squared + 90 squared = c2

90 squared = 8100

8100 + 8100 = c2

8100 + 1800 = 16200 = c2

square root of 16200 = c2 = c

square root of 16200 = 127.27 or 127.28 when you round.

and in fractions it = 11 6/23

PART4) My own question.

There was this waterslide that is 4m tall and the base of 6m. The water is 3m high and the water touches the base of the slide at the exact same level. If you were to slide down from the top of the slide and going down to the water, how many meters is it from the top of the slide to touching the water?