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 of Square ABCD, we need to find the distance between any two adjacent vertices.
Using the Pythagorean Theorem, the distance between points A (-7, 6) and B (-2, -6) can be found:
AB = √[(x2 - x1)^2 + (y2 - y1)^2]
AB = √[(-2 - (-7))^2 + (-6 - 6)^2]
AB = √[(-2 + 7)^2 + (-12)^2]
AB = √[5^2 + 12^2]
AB = √[25 + 144]
AB = √169
AB = 13
Therefore, the side length of Square ABCD is 13 feet.