## Wednesday, March 12, 2008

### Judy's Pythagoras Growing Post

Question 1

What is a Pythagorean Triple?
Three unknown numbers, a, b, and c that satisfy a2+b2=c2 is a pythagorean triple.

example:
a=6 b=8 c=10
a2+b2=c2
6(squared)+8(squared)=10(squared)
36+64=100
100=100

Question 2

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question 3

Problem B

You’ve just picked up a ground ball at first base, and you see the other team’s player running towards third base. How far do you have to throw the ball to get it from first base to third base, and throw the runner out?

What are we trying to find? The distance from the first base to the third base.

1/2 of the diamond is a right angle triangle, and the length of two sides are given. That means we can use the Pythagorean theorem to find the distance from first base to third base.

(The side that we are trying to find is across the right angle, so it's the hypotenuse, c.)
formula to find t
he hypotenuse:
a² + b² = c²
we know that...
a=90

b=90
c=?
plug in the numbers, and follow the formula:
a² + b² = c²
90²+ 90²= c²
8100+8100=c²
16 200=c
²
..........then you have to find the square root of 16 200 to find the square root of c
², which is c
√16 200 = √c²
127.27= c

You'll have to throw the ball 127.27ft to get it from first base to third base.

Question 4
Timothy is fishing at camp Lots-of-Fun :). His fishing pole is 3ft long, and it's line is 4ft. Suddenly, he feels something pulling on his line, and realizes he caught a fish. How far is Timothy from the fish?

Mr. H said...
This comment has been removed by a blog administrator.
mizz ngo 8-16 said...

Wow Judy! Nice work you got there.
=D

Did it take long? 4-3 hours? xP

kaяэп_817 said...

good job judy! :D like you question 4 :)

xaznbabix817 said...

okay,
i know that..
a=3
b=?
c=4

the formula i'm going to use is...
c2-a2=b2

my work:
c2 - a2 = b2
4(sq) - 3(sq) = b2
16 - 9 = b2
(the square root of)7 = b
(the square root of)7= 2.64
2.64 = b :):):)

okay!done! hope it's right byee