## Sunday, March 16, 2008

### Pythagoras Growing Post

A Pythagoras triple is like a mathematical equation which consists of a² + b² = c². You will have 3 perfect squares and if you add them together you will get a perfect square number. In the middle of the Pythagorean triple in this example, is a right angle triangle (90 degree angle). Where one side or square has a², another b², then c². Here we used the perfect square chart where 6² + 8² = 10². You can also use 3² + 4² = 5².

How to Find The Missing Side of A Right Triangle
Using the Pythagorean Theorem

#1
Well first we have to find out what are our sides. Here the right angle always points to the hypotenuse or c which is 10. a= 4 and we have to find out what b is. So what we have to do is make sure we have a formula to start off with then we insert our numbers 4² +b² = 10². Now we have to square the numbers, 4² become 16 and 10² becomes 100. To find b we have to go 16
+16 = 100-16. So b² = 84. The square root of 84 will equal b which is 9.16. b=9.16
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#2
First start off with a formula. a² + b²= c². Then we punch in our digits 4² + 7² = c².Now we have to square the numbers 16 + 49 = 65. To find c we have to find the square root of 65 which is 8.06.

Lefrog

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 ?

One of the word problems we had to do in class was lefrog. We had to find out how far lefrog's tongue had to stretch to reach the fly. The question was just like a find the missing side question where you have to find out c. Although you have to convert cm to m. Which equals 0.7m then subtract that from 2m. Then we have to find a right triangle and draw it out with 1.3 as a and 1.5 as b and then we had to find c. After we squared the numbers we got 1.69 + 2.25 = 3.94 m . c² = 3.94 . The square root of 3.94 = c or 1.98.

Word Problem

Mr. Triangle is traveling to Mr . circles house on a car . He isn't a very smart fellow either. So far he drove 6m east then turned south 9m. After he has hit the end of 9m he has to go for a pit stop and finds out that he might not have enough gas to reach mr circles house. How far does he need to travel?

Mr. Triangle has to travel 10.81m to travel to Mr. circle's house.