Pythagorean Theorem

Homework: Due Friday 25. Use the Pythagorean Theorem to find the A, B, or C of a room, book, television or anything else you can think of in your home. Measure to confirm in the same we did in class. Remember that if you're expecting something to be "square" (being 90 degrees opposite the hypotenuse) and it is not, check your calculations before telling your parents :) Describe the process and your findings in your blog. In class we have started to learn the Pythagorean Theorem. Pythagoras was one of the most known Greek mathematician,scientist, and philosopher in ancient Greece. The Pythagorean Theorem's formula goes like this: а² + b²= c² For homework we had to find a right angled object in our house, and to measure it by using the Pythagorean Theorem. I chose the hall way in my house, since its is in a perfect square shape. I measured the hallway it was 6 meters with 6 meters (as I have said its a perfect square). When having the measurements i had to draw a model of the hallway on a piece of paper and divide the hallway into two parts. At first the model was in a shape of a square, after segregating the model and turning it into two parts it had a shape of a right angled triangle. When having the triangle I had 3 sides, two equal sides, which represent the variables a and b which again had 6 meters. The third side is the longest, its special name is the Hypotenuse, which has an unknown length, and which through this problem I have to find. Now when I have all the sides I start calculating. 1. а² + b²= c² 2. 6²+ 6²= c² 3. 36+36= 72 4. c= 72

During the last past weeks we have started to investigate radical expressions with it exponents, and square roots. IO have learned that when solving a expression that includes an exponent to the second power, it is called squaring, On the other hand when operating with a square root in a expression or equation, basically you are undoing the squaring, which is called square rooting. Here are two examples of expressions with square roots that we were given to solve. √45= 6.70 √12= 3.46 √5= 2.23 since this is a fraction you can simplify it even more by dividing the two decimals and getting a less number which would be 1.55