Math, asked by amithgowdam, 3 months ago

Co ordinates of midpoint of line segment joining the points (3,5) & (7,3)​

Answers

Answered by vidhi5976
2

Answer:

X= 5;y=4

Step-by-step explanation:

The formula of the midpoint segment

X= x1+x2/2;Y=y1+y2/2

X= 3+7/2 ;Y= 5+3/2

X=10/2. ;Y= 8/2

X=5; Y=4

Answered by Anonymous
70

\large \underline {\tt \red {\bigstar \: Question \: \bigstar}}

Co-ordinates of midpoint of line segment joining the points (3,5) and (7,3) are?

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\large \underline {\large \tt \red {\bigstar \: Solution \: \bigstar}}

Given two points (3,5) and (7,3).

We have to find the midpoint of line segment joining these points.

\underline {\boxed {\tt \blue {Midpoint=( \frac{x_1+x_2}{2} , \frac{y_1+y_2}{2} ) }}}

On comparing with (3,5) and (7,3) :-

  • \tt x_1 = 3
  • \tt x_2 = 7
  • \tt y_1 = 5
  • \tt y_2 = 3

Now, substituting the values and solving :-

\blue {:~\implies}~\tt ( \cfrac{3 + 7}{2} , \cfrac{5+3}{2} )

\blue {:~\implies}~\tt ( \cfrac{10}{2} , \cfrac{8}{2} )

\blue {:~\implies}~\tt 5,2

\tt \blue {\therefore The \: coordinates \: of \: midpoint \: of \: the} \\ \tt \blue {line \: segment \: joining \: the \: points }\\\tt \blue {(3,5) \: and \:(7,3) \: is \: (5,4). }

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