Question

does midpoint and distance formula are the same? why or why not?

Answer 1

Answer:

They are not same, see the explanation

Step-by-step explanation:

Distance formula :

The distance between two points A$(x_1,y_1)$ and B$(x_2,y_2)$ is

given by $\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Midpoint formula :

The coordinate of mid point of the line segment joint the points A$(x_1,y_1)$ and B$(x_2,y_2)$ is given by $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Hence they are not same

Answer 2

Answer:

no , midpoint formula and distance formula are different

Step-by-step explanation:

midpoint formula is for finding the coordinatas for midpoints in the straight line

formula = (x1 + x2 )/ 2 , ( y1 + y2 )/ 2

and distance formula is used for finding distance betwen 2 points .

formula = √(x1-x2)² + (y1-y2)²

BUT,

a big fat BUT ...

if you are talking about relation in midpoint formula and section formula then they are same as midpoint formula is derieved from section formula

section formula = ( mx2 + nx1)/m+n , ( my2 + ny1 )/m+n

as m and n are the ratio in which lines are divided

but if the point is a midpoint the ratio will be 1:1

hence the vakue of m and n will be 1 .

so, ( 1•x2 + 1•x1)/1+1 , ( 1•y2 + 1•y1 )/1+1

(x1 + x2 )/ 2 , ( y1 + y2 )/ 2

and this is intured midpoint formula