On a Cartesian coordinate plane, points (1,2) and (-7, 4) are opposite vertices of a square. What is the area of the square?

Guest Aug 13, 2021

#1**+1 **

Use distance formula to find distance between the two points....this is the diagonal of the square

s^2 + s^2 = diagonal ^2 s= side length

2 s^2 = diagonal ^2

s^2 = diagonal^2 / 2 = area beause (Area = side x side = s^2)

ElectricPavlov Aug 13, 2021

#2**+1 **

That was easy.

Can you find the coordinates of the 2 remaining vertices?

civonamzuk
Aug 13, 2021

edited by
Guest
Aug 13, 2021