Right Angle Triangle
This is the "Pythagorean Theorem". It was created by Pythagoras. He came up with this theorem to figure out an unknown side of a triangle. For example, when you know the sides "a" and "b", you can plug them into the theorem and multiply "a", multiply "b" and add them up together. Then, find the square root of the product and find the square root of "c" squared. Then you have what "c" equals. When you prove it using squares, it should work out if you cut out the squares to fit the "c" squared. The R.A.T. in the middle proves that it is the length of the unknown side.
Mr.Harbeck, I personally think that we should care in grade 8 math because it will be heading our way when we get to a harder level in math, and we'll need to know these things already in order to learn more advanced stuff.
Now, for the 2 problems I chose to solve.
Here's the first one:
To find the base of the triangle, first you must find out the base of one side. Then, after you find the base of one side of the triangle, double the base of that one side, and you'll get the base of the whole triangle. You have to double it because you know that both sides of the triangle are equal.
Here's the second problem:
To find the perimeter of the game board, first find the sides of the square. Then, once you know the side of the square, you'll know sides "a" and "b" on the triangle, since they're both equal. Since you know both sides "a" and "b", you have to now figure out what the hypotenuse is ("c"). Once you figure out the hypotenuse, you now know all sides of the triangle and you can add up all sides of the game board.
Here are the math videos that Michelle and I made: