Class- 1–Basics of Trigonometry : Pythagoras Theorem

We will dive right into Trigonometry topic. I will going to make Trigonometry concepts in very simple term. Suppose you are standing in front of a tall building and you want to find the height of it. There is one simple method is to go to the top of building and then drop the measurement strip and find the height of it. In the secondary way by applying the principles of Trigonometry while standing in front of it you can easily calculate height of building. In these way concepts of Trigonometry applies in practical situations.

Pythagoras Theorem:

Before going to use Trigonometry concepts you need to understand Pythagoras Theorem. It works in a 90 degrees triangle. When I a triangle one side is 90 degree and the opposite to 90 degree is called hypotenuse on in short cut H. Pythagoras Theorem says that square of hypertaneus is equal to square of perpendicular plus square of base.

In this right angled triangle, the line in front of 90 degree is called hypotenuse. and it is AC and in sign H. The line AB is called Perpendicular and sign is P and line BC is called  base and the sign is B So according to Pythagoras theorem is

AC²   = AB² +  BC²    or we can say

H²     =  P²    +   B²

^{Let us take some values. Suppose AB}  is 3 and BC is 4, then what is the value of AC or hypotenuse.

AC²   = AB² +  BC²    

AC²  =  3²   +  4²

^‑AC =  √ 9   +  16  as

In left hand side square converted into square root at the right hand side and square root is over with combination of    3²   +  4^{2    ­}

^{First we need to find individual squares and then sum it ip and then took the square root of total addition of}    3²   +  4^{2    ­} combined. So now the equation is as follows.

AC =   √ 9   +  16  

AC  –    √ 25   (Square root of 25)  

^{AC – 5}

So, value of hypotenuse is 5 when perpendicular is 3 with base is 4. With the help of this Pythagoreus theorem we have been able to find the value of hypotenuse.

In this theorem the triangle must be right angle  and you can find the real value of one side of tight angled triangle when you have values of two other sides. Here we have example of finding Hypotenuse  but you can find values of   perpendicular as well as values of base whenever any two other values available by using this theorem. Hypotenuse square is sum of square of other two sides. In Pythagoras theorem we are interested in side of triangles where as in Trigonometry we are interested in angle of triangle and in subsequent lectures we will reading in depth detail about it.