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

 Aug 13, 2021
 #1
avatar+34374 
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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)

 Aug 13, 2021
 #2
avatar+1496 
+1

That was easy.

Can you find the coordinates of the 2 remaining vertices? wink

civonamzuk  Aug 13, 2021
edited by Guest  Aug 13, 2021

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