Question

derivation of mid point formula​

Answer 1

Step-by-step explanation:

$\huge\underline{\underline{\sf \: ANSWER}}$

We know section formula,,

$x = \frac{mx2 + nx1}{m + n} \\ y = \frac{my2 + ny1}{m + n}$

Where m and n are ratios in which line is divided...

In case of mid point=>

m = n

and ratio will be 1:1

then,

$x = \frac{(1)x2 + (1)x1}{1 + 1} \\ y = \frac{(1))y2 + (1)y1}{1 + 1} \\ \\ from \: here.. \\ x = \frac{x1 + x2}{2} \\ y = \frac{y1 + y2}{2}$

Hope you got'em..