Chris's Pythagoras growing post

Part 1: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.

A Pythagorean Triple is 3 unknown numbers a, b,c that work with a2, b2=c2

Part 2: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 3:Explain how to solve a Pythagoras word problem. Use one of the examples we covered in class

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?



Part 4:Now that you have seen many Pythagorean problems, create your own word problem.

kyle's pythagorean growing post

Question 1:

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.

A pythagorean triple is three numbers that are all perfect squares. Like 3 squared + 4 squared equals 5 squared. So, then it is 9 + 16 = 25. Another pythagorean triple from the perfect square chart is 6,8,10.

Question 2:

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=?)

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Question 3:

Explain how to solve a Pythagoras word problem. Use one of the examples we covered in class (Worksheet A, B, LeFrog or Bonus Problem).

Mr. H jumped into a canoe to cross a river that runs east to west and is 20m wide. The current carried him down stream 8m before he reacked the other side. How far did he travel?

Question 4:

Now that you have seen many Pythagorean problems, create your own word problem.

Mr. Smith a 10ft. ladder and has to climb up a 8ft. wall. How far away fron the wall does Mr. Smith have to place the ladder?

Nick's Growing Post

Question 1
A pythagorean triple is 3 numbers that follow the rule A2+B2=C2
3,4,5 is a very good example.
This picture shows this.
3 squared=9
4 squared=16
5 squared=25

Question 2
To find a missing leg you must follow the formula of C2-A2=b2 or C2-B2=A2
Ex,
52-42=A2
25-16=9
9=A2
square root of 9=3

How to find a missing Hypotnuse.
32+42=C2
9+16=25
square root of 25=5


Question 3

Worksheet problem A.

First, follow the Pythagoream theorem.

A2 + B2 = C2
25,2 + 10,2 = C2
625 + 100 = 725
725/ = 26.925


729-676= 53
725-676=49
26 49/53

And there is your answer!!!

Question 4

Sam is walking up stairs. The stairs are 3 meters wide and 4 meters tall. How much does Sam have to walk up stairs? (round to 2 decimal spots)

Tier's Pythagoras Growing Post

Part1:
What's the Pythagorean triple?
For those of you who are familiar with the Pythagorean theorem, you might have came across this during your investigations.
But for those of you who aren't, a Pythagorean triple is a set of 3 numbers. In that set of numbers, when all of them are squared, adding the two lowest numbers will equal the remaining number.
*Note: after squaring, the resulting numbers must all be whole number.*

For Example, 3, 4, 5 is a Pythagorean triple.


To figure out if this set is one of the Pythagorean triple, we need to find out if the two lowest numbers squared will equal the highest number squared.

first, the formula, then we apply the measurements, then we squared the numbers that required squaring. then add a and b together.
a2 + b2 = c2
32 + 42 = 52
9 + 16 = 25
25 = 25

if the answers below equal each other, the set is one of the Pythagorean triple.

There are other sets of Pythagorean triple too.
Some of them are 6, 8, 10 and 12, 16, 20. Try them out!




Part2:
How to find the missing Hypotenuse
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Finding to missing leg:
*My Computer Won't upload the Pictures to bubbleshare, sorry.*

Its basically similar to how to find the missing hypotenuse, but instead of the formula: a2 + b2 = c2. The formula used is either c2 - a2 = b2 or c2 - b2 = a2.
pretend these are the givens:
c= 5
b= 4
a= ?

because were trying to find the missing leg a, we use the formula c2 - b2 = a2.

c2 - b2 = a2
52 - 42 = a2
25 - 16 = a2
9 = a2
3 = a

Part3:
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 you 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?

Start With the Formula:
a2 + b2 = c2

a= 25
b= 10
c= ?

a2 + b2 = c2
252 + 102 = c2
625 + 100 = c2
725 = c2
26.92 = c





Part 4:
Lucas wanted to attack Mario with his magic called "PK Thunder". Since Mario is on top of a 19 feet cliff and Lucas was 20 feet away from the cliff with 3 feet long spikes between them, he has to attack from far away. Magic's starting point is from Lucas' hands which is the same height as the spikes from the ground. How long does Lucas' attack have to travel?

Erick's Pythagoras Growing Post

A Pythagorean Triple is three unknown numbers, A, B, and C that satisfy a2+b2=c2 is a pythagorean triple.

a2+b2=c2

This example shows, - 6squared + 8squared = 10squared

6squared = (6x6=) 36 = a2

8squared = (8x8=) = 64 b2

10squared = (10x10=) = 100 c2

SO THE QUESTION , IF YOU THINK ABOUT IT, IS REALLY


36 + 64 = 100

Part 2:

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Part 3:
This is Word porblem A

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 you 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?

Now we start with the formula:
a2 +b2= c2



Now Heres what it looks like in the right triangle.

Now we simply do all the math work.

a2 + b2 = c2
25 squared + 10 squared = c2
625 + 100 = c2
725 = c2
Square root 725 to get c

c = 26.92

Part 4
My Word Problem Example

So Sora is done his adventure and comes across a keyhole. He is 10 meters away from it. The keyhole is 20 meters high. Sora is 4 meters tall. His Keyblade can fit exactly into the keyhole from the distance he is standing from. How long is his Keyblade?

Key Info...
10 meters away
Keyhole 20 meters High
Sora 4 meters Tall

Israelie's Pythagoras Growing Post

PART 2:








PART 3:
Question: Lefrog stands 1.5 meters from a wall where a fly is 2 meters up. if Lefrog's tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to eat the fly ?







PART 4:



Bob got his ball stuck in a tree. The tree was 14 m tall. and he was 7 m away from the tree. from his hand down was 140cm. How far does Bob have to reach to get the ball??

Exequelle's Pythagoras Growing Post

Question 1:

A Pythagorean Triple is three unknown numbers, A, B, and C that satisfy a2+b2=c2 is a pythagorean triple.

This images shows that 3squared + 4squared = 5squared.

3squared = (3x3)= 9
4squared= (4x4)= 16

5squared= (5x5)= 25

So the questions is really 9 + 16 = 25.

Question 2: Find a Missing Leg/Hypotenuse

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Question 3: Problem B
You've just picked up a ground ball at first base, and you see the other teams player towards third base. How far do you have to throw the ball to get it from first base to the third base and throw the runner out?




I just followed the formula, and the distance from 1st to 3rd is the hypotenuse. So you just have to go A + B = C. So all you have to do is square the numbers then add them, then find the square root of that number. Then that would be how far you would have to throw it in feet.
This is the work I did:
A2 = 90(2)
B2 = 90(2)
C = ?
90(2) = 8100
A2 = 8100
B2 = 8100
8100 + 8100 = C
8100 + 8100 = 16200
SquareRoot of 16200 = C2
C2 = 127.28

So the answer to the question is: To throw the ball from 1st base to 3rd base is 127.28 feet. So you have to throw the ball that far to get the runner out.

Question 4: Make Your Own Question

Fred and his buddy Shrek are going shopping at Extremo Shopping Centre of Doom. Shrek goes all the way to the top of an escalator, that is 4 meters high.The base of the escalator is 2 meters long. Fred is standing 55 cm, away from the escalator. How far is Fred standing from Shrek? (Round to two decimals.)

Justin'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
so its a²+b²=c²
6²+8²=10²
36+64=10

Question 2: Find the missing side/Hypotenuse

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Question 3: Problem A
Lefrog:

Lefrog stands 1.5 meters from a wall where a fly is 2 meters up. if Lefrog's tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to eat the fly ?(click the picture to enlarge it) answer: Lefrog's tongue has to stretch 1.98m to eat the fly.explanation: First we had to find out what our formula was going to be. For this question it would be a²+b²=c². Then we had to gather the information that was given to find out the lengths of a² and b² . a² was the length of how high the fly was up the wall (2m-0.70=1.3m), and b² was how far Lefrog stood from the wall(1.5). So since we already knew that information all we had to do was the calculations to find out what c² was. To do that all we had to do was add a² and b² together then find the square root of it, and then that gives you the answer to this question which was 1.98m.

Question 4:Word Problem

Today Spongebob wants to play baseball with his bestfriend Patrick. Patrick is 6 meters tall. If Spongebob is 5 meters away from Patrick and lets go of the ball 3 meters high , how far does Spongebob have to throw the ball to get it to Patrick?

Josephine's Pythagoras Growing Post

What is a Pythagorean Thereom??

A pythogorean thereom is three unknown numbers: a , b and c. And they obey the following relationship a² + b² = c². A & B are both legs and C is the hypotenuse.

Formula: a² + b² = c²

Example/Diagram:
a = 8 b = 6 c = 10
8² + 6² = 10²
64 + 36 = 100





Explanation:
8²+ 6² = 10² because as you can see in the box/square of 10² there is a shaded part of the square and it equals 6squared (shaded in yellow, 36 squares) so the remainder which is the white part equals 8² (white part of square, 64 squares) and if you add them together they pretty much make up 100 squares which is also 10². (the squares that make up 6² and 8² can also make up 10² if they are added together)

How to find the missing Leg/Hypotenuse:

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Lefrog:

Lefrog stands 1.5 meters from a wall where a fly is 2 meters up. if Lefrog's tongue comes out of his mouth 70 cm from the ground, how far does his tongue have to stretch to eat the fly ?

>>>click for bigger picture
answer: Lefrog's tongue has to stretch 1.98m to eat the fly.
explanation: First we had to find out what our formula was going to be. For this question it would be a²+b²=c². Then we had to gather the information that was given to find out the lengths of a² and b² . a² was the length of how high the fly was up the wall (2m-0.70=1.3m), and b² was how far Lefrog stood from the wall(1.5). So since we already knew that information all we had to do was the calculations to find out what c² was. To do that all we had to do was add a² and b² together then find the square root of it, and then that gives you the answer to this question which was 1.98m.

Word Problem:

Chococat wants a chocolate cookie for dessert. So if he is standing 6m from the table and the cookie is on the table which is 8m high. How high does Chococat have to reach to get the cookie?

>>>click for bigger picture

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 the 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=c²
..........then you have to find the square root of 16 200 to find the square root of c², 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?