Question

Find the distance between points A (1; -2) and B (3; 4).

Answer 1

Answer:

this question answer is under root 20

Answer 2

Step-by-step explanation:

Given:-

The points A (1,-2) and B (3, 4).

To find:-

Find the distance between the given points ?

Solution:-

Given points are :A (1,-2) and B (3, 4).

Let (x1, y1)=A(1,-2)=>x1= 1 and y1= -2

Let (x2, y2)=B(3,4)=>x2= 3 and y2= 4

We know that

The distance between the two points A(x1, y1) and B(x2, y2) is √[(x2-x1)^2+(y2-y1)^2] units

On substituting these values in the above formula

Distance between A and B = AB

=> √[(3-1)^2+(4-(-2))^2] units

=> √[(2)^2+(4+2)^2] units

=>√[4+(6)^2] units

=> √(4+36) units

=> √40 units

or

=> √(4×10) units

=> 2 √10 units

AB = √40 units it 2√10 units.

Answer:-

The distance between two points A and B is

√40 units or 2 √10 units

Used formula:-

Distance formula:-

The distance between the two points A(x1, y1) and B(x2, y2) is √[(x2-x1)^2+(y2-y1)^2] units