Adv
Deepak Bora
  • 0
Newbie

Calculate the length of the median through the vertex A of the triangle ABC with vertices A (7, – 3), B (5, 3) and C (3, – 1).

  • 0

M.L Aggarwal book Important Question of class 10 chapter Based on Section Formula for ICSE BOARD.
You have to Calculate the length of the median through the vertex A of the triangle ABC with given vertices in the question.
This is the Question Number 22, Exercise 11 of M.L Aggarwal.

Share

1 Answer

  1. Let M(x,y) be the median of ΔABC through A to BC.

    M will be the midpoint of BC.

    x= 5, y1 = 3

    x= 3, y2 = -1

    By midpoint formula, x = (x1+x2)/2

    x = (5+3)/2 = 8/2 = 4

    By midpoint formula, y = (y1+y2)/2

    y = (3+-1)/2 = 2/2 = 1

    Hence the co-ordinates of M are (4,1).

    By distance formula, d(AM) = √[(x2-x1)2+(y2-y1)2]

    x= 7, y1 = -3

    x= 4, y2 = 1

    d(AM) = √[(4-7)2+(1-(-3))2]

    d(AM) = √[(-3)2+(4)2]

    d(AM) = √(9+16)

    d(AM) = √25 = 5

    Hence the length of the median AM is 5 units.

    • 0
Leave an answer

Leave an answer

Browse

Choose from here the video type.

Put Video ID here: https://www.youtube.com/watch?v=sdUUx5FdySs Ex: "sdUUx5FdySs".

Captcha Click on image to update the captcha.

Related Questions