Math, asked by harshadakamble450, 4 months ago

find distance coordinates of midpoint of segment joining the points (16,4) and (36,6)

Answers

Answered by Anonymous
3

Answer:

The midpoint is halfway between the two end points: Its x value is halfway between the two x values. Its y value is halfway between the two y values

Answered by Anonymous
8

Given

  • Two coordinates are given :-

⠀⠀⠀⠀⠀→ A(16,4)

⠀⠀⠀⠀⠀→ B(36,6)

To find

  • The mid point of segment joining these given points.

Solution

  • Let the point (x,y) which divides the line segment AB into two equal parts.

⠀|━━━━━━━━━━━|━━━━━━━━━━━|

A(16,4)⠀⠀⠀⠀⠀⠀⠀P(x,y)⠀⠀⠀⠀⠀⠀⠀⠀B(36,6)

Using Mid point Formula

\: \: \: \:  \boxed{\bf{\bigstar{P(x,y) = \bigg\lgroup{\dfrac{x_1 + x_2}{2},\dfrac{y_1 + y_2}{2}}\bigg\rgroup{\bigstar}}}}

Here,

  • \sf{x_1 = 16, y_1 = 4}
  • \sf{x_2 = 36, y_2 = 6}

\tt\longmapsto{P(x,y) = \bigg\lgroup{\dfrac{16 + 36}{2},\dfrac{4 + 6}{2}}\bigg\rgroup}

\tt\longmapsto{P(x,y) = \bigg\lgroup{\dfrac{52}{2},\dfrac{10}{2}}\bigg\rgroup}

\tt\longmapsto{P(x,y) = (26,5)}

Hence,

  • The required coordinates are P(26,5)

━━━━━━━━━━━━━━━━━━━━━━

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