|Years ago, a man named Pythagoras found an amazing fact about triangles:
|It is called “Pythagoras’ Theorem” and can be written in one short equation:
a2 + b2 = c2
The longest side of the triangle is called the “hypotenuse”, so the formal definition is:
In a right angled triangle:
the square of the hypotenuse is equal to
the sum of the squares of the other two sides.
Sure … ?
Let’s see if it really works using an example.
Example: A “3,4,5” triangle has a right angle in it.
|Let’s check if the areas are the same:
32 + 42 = 52
Calculating this becomes:
9 + 16 = 25
It works … like Magic!
Why Is This Useful?
If we know the lengths of two sides of a right angled triangle, we can find the length of the third side. (But remember it only works on right angled triangles!
How Do I Use it? Slope Wheel
Write it down as an equation:
|a2 + b2 = c2|
Now you can use algebra to find any missing value.
In the last chapter, we learned about slopes (gradient), and to help us do the slopes activity, our teacher, Mr. Jared, told us to make a slope wheel. I think the slope wheel helped me a lot in doing my homeworks.
I have a improvement idea for the slope wheel : the sate stick which represent the line, is to thick and sometimes it touches 2 lines at a time, so, its better if the tool to represent the line is subtituded to a thinner tool than the sate stick!