Question

Find the Co ordinate of the mid point of the line segment joining two points (3,4 )and (5,6)​

Answer 1

$\rule{400}4$

☆ ANSWER:-

▪︎ Given:-

• Two Coordinates (3,4) and (5,6).

▪︎ To Find:-

• The mid point of the line segment joining these coordinates.

$\rule{400}2$

▪︎ So,

• Let the coordinates of midpoint be (X,Y).

▪︎ Formula Used:-

• Mid Point Formula:-

$\sf\leadsto X = \frac{x_1+x_2}{2} \\ \\ \sf\leadsto Y = \frac{y_1+y_2}{2}$

Where,

• $\sf x_1 \:\:and \:\:x_2$ Are 'x' coordinates of the given two points joining the line segment.

• $\sf y_1\:\:and\:\:y_2$ Are 'y' coordinates of the given two points joining the line segment.

$\rule{400}2$

▪︎ Now,

• Let us find the coordinates of midpoint of the line segment joining the points (3,4) and (5,6) by Midpoint Formula.

$\tt\mapsto X = \frac{x_1+x_2}{2} \\ \\ \tt\mapsto X = \frac{3+5}{2} \\ \\ \tt\mapsto X = \frac{\cancel8}{\cancel2} \\ \\ \tt\mapsto\large{\fbox\red{\fbox {X = 4 }}}$

And,

$\tt\mapsto Y = \frac{y_1+y_2}{2} \\ \\ \tt\mapsto Y = \frac{4+6}{2} \\ \\ \tt\mapsto Y = \frac{\cancel{10}}{\cancel2} \\ \\ \tt\mapsto\large{\fbox\red{\fbox{ Y = 5}}}$

$\rule{400}2$

$\therefore$ Midpoint = (X,Y) = (4,5)

$\rule{400}4$