Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Three vertices of a Parallelogram ABCD are A (1, 2, 3), B (– 1, – 2, – 1) and C (2, 3, 2). Find the fourth vertex D.

Three vertices of a Parallelogram ABCD are A (1, 2, 3), B (– 1, – 2, – 1) and C (2, 3, 2). Find the fourth vertex D.

Answers (1)

Let us assume that the 4th vertex if the parallelogram is D(x,y,z).

Now, mid-point of BD,

(1+2/2, 2+3/2, 3+2/2) = (x-1/2, y-2/2, z-1/2)

Thus, 3/2 = x-1/2

x = 4

5/2 = y-2/2

y = 7

& 5/2 = z-1/2

Thus, z = 6.

Therefore, coordinates of the 4th vertex are D(4,7,6).

Posted by

infoexpert22

View full answer

Similar Questions

Latest Question