Asked by ur mama
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)
feet.
A (-7, 6)
B (-2, -6)
C (10, -1)
D (5, 11)
Answers
Answered by
GPT 3.5
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.
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.
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