I shall try to tell in simple words some calculations with triangles what you have to know in a workshop.
Most people have problems with angle calculations. That’s the reason I starts with that subject.
Angle calculations
The base is a triangle with 1 angle of 90 degree ( angle C ).
The basic what you must learn is : SOT CAT TOA ( in English )
( En in het nederlands SOS CAS TOA )
When you know these words you can calculate every angle like this.
Sine = Oposite / The hypotenuse
Cosine =Adjacent / The hypotenuse
Tangent = Oposite / Adjacent
Example : CAT
This means :
Cosine =Adjacent / The hypotenuse
Lets calculate.
Line AB = 4
Line BC = 2
What is the angle of B ?
We knows the Adjacent and the hypotenuse
So , we use CAT
Cos ( B ) = (Adjacent / the hypotenuse )
Cos ( B ) = ( BC / AB )
Cos ( B ) = ( 2 / 4 ) = 0.5
Angle of B = inverse Cos( 0.5 ) = 60 degrees
Lengthcalculation
With Pythagoras.
Lets calculate.
Line AB = 5
Line BC = 3
Now we want to know what length is AC
It’s very simple.
( AB * AB ) = ( AC * AC ) + ( CA * CA )
AC * AC = (AB * AB) – ( BC * BC )
AC * AC = ( 5 * 5 ) – ( 3 * 3 )
AC * AC = 25 – 9 = 16
AC = Root ( 16 )
AC = 4
Weight Calculations.
An other kind of calculation is : What is the weight of a piece material.
When you want to know the weight op a piece of material , you must know what the volume is multiply by the weight per litre.
