Question

the ends of a diagonal of a square have co-ordinates (-2,p) and (p,2). find p if the area of the square is 40 sq. units​

Answer 1

Answer:

Step-by-step explanation:

Let X be the midpoint of the diagonal. We have the coordinates of X as (1,2) and AX=BX, where ABCD is the square. By solving AX=BX, we get the abcissae of B as 1 and the ordinate as 0 or 4, when solving for AB=BC by plugging in the value of x. Hence the points are (1,0) and (1,4).