Question

Find the coordinates of midpoint of line segment
joing A(3,0) and B(5,4).​

Answer 1

$\bf\huge\blue{\underline{\underline{ Question : }}}$

Find the coordinates of midpoint of line segment joining A(3,0) and B(5,4).

$\bf\huge\blue{\underline{\underline{ Solution : }}}$

★ Given that,

• The line segment joining the points A(3,0) and B(5,4).

★ To find,

• The mid point.

★ Formula :

Formula for Mid point is :

$\boxed{\rm{\red{ Mid - point = \Bigg(\cfrac{x_{1} + x_{2}}{2} , \cfrac{y_{1} + y_{2}}{2} \Bigg) }}}$

★ Let,

• x1 = 3 ; y1 = 0
• x2 = 5 ; y2 = 4

$\sf \implies AB = \Bigg( \cfrac{ 3 + 5}{2},\cfrac{0+4}{2} \Bigg)$

$\sf \implies AB = \Bigg(\cancel{\cfrac{8}{2}},\cancel{\cfrac{4}{2}} \Bigg)$

$\sf \implies AB = (4,2)$

$\underline{\boxed{\rm{\purple{\therefore The\:Mid - Point\:of\:joining\:line\:segment : AB = (4,2).}}}}\:\orange{\bigstar}$