Use the Pythagorean Theorem to find the side length, s, of Square ABCD in feet
A (-7, 6)
B (-2, -6)
C (10, -1)
D (5, 11)
To find the side length s of Square ABCD, we need to find the distance between two adjacent vertices. Let's find the distance between A and B using the Pythagorean Theorem:
Distance AB = sqrt((x2 - x1)^2 + (y2 - y1)^2)
x1 = -7, y1 = 6 (coordinates of A)
x2 = -2, y2 = -6 (coordinates of B)
Distance AB = sqrt((-2 - (-7))^2 + (-6 - 6)^2)
= sqrt((5)^2 + (-12)^2)
= sqrt(25 + 144)
= sqrt(169)
= 13 feet
Therefore, the side length of Square ABCD is 13 feet.