Question

QUESTION-19
If the points (k, k-1), (k + 2, k + 1)
and (k, k + 3) are three
consecutive vertices of a
square, then its area (in square
units) is

Answer 1

Answer:

its answer is 8 square units

Step-by-step explanation:

we know that area of square is equals to side ka square

let a square ABCD as shown in picture

we have co-ordinate of a k, k - 1

co-ordinate of b k + 2 k + 1

co-ordinate of c k, k + 3

therefore area of square is equals to AB sq.

to find distance of ab use distance formula

as AB is equals to whole root x 2 - X 1 whole square plus y 2 - 1 whole square

therefore ab is equals to whole root 4 + 4

we get that a b is equals to root 8

therefore area of square is whole root 8 square is equals to 8 square root

Answer 2

Answer:

Hey above☝️ is your answer.

There are three pictures one after another see it properly.

Hope This Help