Monday, March 17, 2008

Pythagoras Growing Post

Part 4: Now that you have seen many Pythagorean problems, create your own word problem.
My word problemo
My mom told me to get some cups from Wal-Mart. Wal-Mart is 12 km east from my house. Suddenly i got a phone call and she told me to get milk and SafeWay which is 10 km south from Wal-Mart. Now I had to go home. When i got home, i asked myself how much i walked from SafeWay to my house i guessed 99 km. How much did i walk from SafeWay to my house? was my normal guess right or wrong?

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. (Note: You need a picture, not simply text.)

This is a picture of a Pythagorem Triple. A pythagorem triple says that the legs ( a and b) and the hypotenuse (c) of a right triangle follows the equation, a2 + b2 = c2. so if you add the legs together, you'll get the hypotenuse. This also shows that if you add the small square with the medium sized square, you'll get the biggest square. It uses perfect squares to find out the hypotenuse.


Perfect Square Chart

Here is the next pythagoream triple. It was quite easy to find out after you look at the perfect sqaure chart.

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=?)

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Part 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).

I am going to explain how we solved LeFrog. First we had the 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?
LeFrogs tongue had to stretch 1.98 m to eat the fly.

To figure out this problem, you first look at the question and find out the lengths of the triangle to find the hypotenuse. The lengths of our triangle was 1.5 and 1.3. It was 1.3 on one side because of the calculations i did on the top left corner. We then had to find out the length of LeFrogs tounge. We then used our formula ( a2 + b2 = c2 ). We used this formula, when we got to c, we used our calculators to find the sqaure root of the number. Finally, we found the answer to how far LeFrogs tounge had to stretch to eat the fly.


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