Math, asked by CHILLIEST, 10 months ago

Find the distance of point (1,2) from the mid point of the line segment whose end points are (6,8) and (2,4).
Pls ans with steps

Answers

Answered by rajsingh24

at first

let the mid point of (6,8), (2,4) is (x,y)

here .

$x = \frac{x1 + x2}{2} \\ \frac{6 + 2}{2} \\ x= 4 \\ and \: y = \frac{y1 + y2}{2} \\ = \frac{8 + 4}{2} \\ y = 6$

the co-ordinates of mid point are (4,6)

now,

using distance formula

distance between (4,6) and (1,2) is

$= \sqrt{(1 - 4) {}^{2} + (2 - 6) {}^{2} } \\ = \sqrt{(3 {}^{2} + 4 {}^{2} )} \\ = \sqrt{9 + 16} \\ = \sqrt{25} \\ = 5$

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