For this istudy technique, I will show you how to derive other formulas from a given formula in a very easy way. We all knew that deriving formulas will also need some Mathematical operations and methods to be done. And when you are not good with this kind of derivation, that would be disastrous for your exams and most specially for your school grades.
Some of the very common Mathematical formulas are those formulas that are having only 3 variables. Examples of these are the following :
- d = rt (distance = rate x time)
- Ar = wh (area of a rectangle = width x height)
Now to start knowing the technique for deriving other formulas from the same formula follow the simple steps below.
How to Easily Derive Formulas from a Given Formula
1. Draw a TRIANGLE and divide your triangle into 3 parts see the illustration below.
2. Saying that your main formula is a = bc. Write a on the top part and write b and c on the remaining 2 parts. See the image below.
3. Now, here is the fun part. Since it is given a = bc, then the other 2 formulas you can derive from any of the triangles above that you made are the following formulas.
- b = a / c
- c = a / b
Where and how did e get the other 2 formulas?
You will get a = bc by just analyzing the triangle you created. See the image below.
You will get b = a / c by;
Lastly, you will get c = a / b, by doing the same process as b.
This technique is applicable to any formulas with 3 variables. But for formulas like the Area of a triangle this is not applicable even though the Area of a triangle's formulas has 3 variables, the area, base and height, the formula also has 1/2 included.
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