Question
Use the Pythagorean Theorem to find the side length, s, of Square ABCD in feet.
Area = a2 + b2 = c2 where c is the side length, s.
A (-7, 6)
B (-2, -6)
C (10, -1)
D (5, 11)
s = ____ feet
Area = a2 + b2 = c2 where c is the side length, s.
A (-7, 6)
B (-2, -6)
C (10, -1)
D (5, 11)
s = ____ feet
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Answered by
GPT 3.5
To find the side length of Square ABCD, we need to calculate the distance between two of its vertices using the Pythagorean theorem's formula, a^2 + b^2 = c^2.
First, let's find the distance between points A (-7, 6) and B (-2, -6):
a = difference in x-coordinates = -2 - (-7) = 5
b = difference in y-coordinates = -6 - 6 = -12
Now, we can calculate c:
c^2 = a^2 + b^2
c^2 = 5^2 + (-12)^2
c^2 = 25 + 144
c^2 = 169
To find the side length s, we need to take the square root of c^2:
s = √169
s = 13 feet
Therefore, the side length of Square ABCD is 13 feet.
First, let's find the distance between points A (-7, 6) and B (-2, -6):
a = difference in x-coordinates = -2 - (-7) = 5
b = difference in y-coordinates = -6 - 6 = -12
Now, we can calculate c:
c^2 = a^2 + b^2
c^2 = 5^2 + (-12)^2
c^2 = 25 + 144
c^2 = 169
To find the side length s, we need to take the square root of c^2:
s = √169
s = 13 feet
Therefore, the side length of Square ABCD is 13 feet.
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