Equation of a line by using pythagoras theorem

Pythagorean theorem is important triangle formula which is a relation in Euclidean geometry among the three sides of a right triangle (right-angled triangle in British English). It states:

In any right triangle, the area of the square whose side is the hypotenuse (the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).we use this in most trigonometry examples

The theorem can be written as an equation:

where c represents the length of the hypotenuse, and a and b represent the lengths of the other two sides.


Question:-

Find the distance between two points R(5,1) and S(-3,-3)

Answer:-
Let's solve this by using a graph,so that we can draw the line by using the given points and we can make use of Pythagoras theorem to find the distance between them.

(RS)²=(RT)²+(ST)²

(RS)²=4²+8²

(RS)²=16+64

(RS)²=80

RS = √80

similarly ,we can find all points having an x-coordinate of 2 whose distance from the point 2 1 is 5