HI!

Hiyaa! You're about to see all sorts of cool new math material on here, but before we do that, we'd like to thank the following:
http://gwenellenmorett.suite101.com/the-pythagorean-theorem-a21010 (For some examples)
And Mrs.Curtis! Some of the material on here is from our very own notes from our Math III Course notebooks! On this site you will find...

• LOTS of real life examples using the pythagorean theorem
• Some interesting word problems
• And the answer to the question... What is a pythagorean triple?

So, sit back, relax, and enjoy!

Real-Life Examples... Pythagorean Theorem Style!

Do you know how often people use the pythagorean theorem? It's very often! Here are a couple of examples...

• Baseball!
• Basketball!
• Rescuing your poor pet from a tree!
• Making a square cake!
• Using a ladder!
• Making pyramids!
• Hiking up a mountain!
• The art of oragami!
• Pitching a tent!
• Making a deck!
• Making a stained glass window!
• Building a playhouse!
• MAKING TRIANGULAR BUBBLES! :[) :[) :[)

Do you see how often we use it in real life? There's more!  There are also many jobs that use it... many, many, MANY jobs that use it. :[)
Any questions? :[)

Some Problems Using the Pythagorean Theorem!

            If a basketball player is about shoot the ball into the hoop that is 9 feet tall and he if 5 feet away from it, then how high at an angle does he have to throw it?

Some Problems Using the Pythagorean Theorem!

An evil scientist is making right triangular bubbles. He needs all of the measurements before he can start to make a whole batch. Every time he tries to find the hypotenuse of the bubble, it pops! So far the bottom is 2 inches and the height is 7 inches. How long is the hypotenuse of the bubble?

Some Problems Using the Pythagorean Theorem!

If HALF of a mountain makes a right triangle and the height is 3,600 feet, and on the bottom its 800 feet across, then how far will you hike up?

HOW TO FIGURE IT OUT:

Since you know 2 measurements, you need to find the third one!
a2+b2=c2 ---> PLUG IN THE NUMBERS!

800(2)+3600(2)= c2 ___> FIND THE EXPONENTS!
640000+12960000=c2 ---> ADD THE NUMBERS!

640000+129600000=13024000

The square root of 13024000 is...

About 3608.9 feet.

Problems Using the Pythagorean Theorem!

If a ladder to a slide is 8 feet and the ground from the ladder to the slide is 4 feet, the how far down will the child slide?

HOW TO FIGURE IT OUT:Since you know two of the three measurements, you need to plug in your numbers using the theorem.

a2+b2=c2 ---> PLUG IN THE NUMBERS!

4(2)+8(2)= c2 ---> FIGURE OUT THE EXPONENTS!

16+64= c2 ADD THE TWO NUMBERS!

16+64=80

The square root of 80 is...

About 8.9... that's your answer!

Any questions? :[)

Some Problems Using the Pythagorean Theorem!

If a runner from a baseball team is running from first to second base, each base being 90 feet apart & the distance from first base to third base is 120 feet, then how far would the catcher have to throw the ball?



HOW TO FIGURE IT OUT:

The first thing that you will need to do is split the triangle apart so that it makes 2 complete right triangles. Then, you take the distance from first to third base and split that in half. After you do that, you would do...
a2+b2=c2 ---> PLUG IN THE NUMBERS!
60(2)+b2=90(2) ---> FIGURE OUT THE EXPONENTS!
3600+b2= 8100 ---> SUBTRACT A FROM C!
8100-3600=4500 ---> NOW SQUARE THE ANSWER!
The square root of 8100 is...
90!
Then you would do 90*2 since you need to find the distance from home plate to 2nd base.
And 90*2 equals...
180!
The answer is 180!
Do you get it now?
Was it tricky?
Any questions? :[)