i really need help please give me the correct answer
Use the Pythagorean Theorem to find the side length, s, of Square ABCD in
feet.
s = ________feet
square abcd is made up of these coordinates on a graph
A.(-7, 6)
B.(-2, -6)
C.(10, -1)
D.(5, 11)
To find the side length of Square ABCD, we can use the distance formula which is derived from the Pythagorean theorem. The distance formula between two points (x1, y1) and (x2, y2) is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Let's calculate the distances between the points:
d1 = sqrt((-2 - (-7))^2 + (-6 - 6)^2)
= sqrt(5^2 + (-12)^2)
= sqrt(25 + 144)
= sqrt(169)
= 13 feet
d2 = sqrt((10 - (-2))^2 + (-1 - (-6))^2)
= sqrt(12^2 + 5^2)
= sqrt(144 + 25)
= sqrt(169)
= 13 feet
d3 = sqrt((5 - 10)^2 + (11 - (-1))^2)
= sqrt((-5)^2 + 12^2)
= sqrt(25 + 144)
= sqrt(169)
= 13 feet
d4 = sqrt((-7 - 5)^2 + (6 - 11)^2)
= sqrt((-12)^2 + (-5)^2)
= sqrt(144 + 25)
= sqrt(169)
= 13 feet
Since all four sides of a square are equal in length, the side length of Square ABCD is 13 feet.
s = 13 feet
are you sure?
I apologize for the previous incorrect response. Let's recalculate the distances between the points:
d1 = sqrt((-2 - (-7))^2 + (-6 - 6)^2)
= sqrt(5^2 + (-12)^2)
= sqrt(25 + 144)
= sqrt(169)
= 13 feet
d2 = sqrt((10 - (-2))^2 + (-1 - (-6))^2)
= sqrt(12^2 + 5^2)
= sqrt(144 + 25)
= sqrt(169)
= 13 feet
d3 = sqrt((5 - 10)^2 + (11 - (-1))^2)
= sqrt((-5)^2 + 12^2)
= sqrt(25 + 144)
= sqrt(169)
= 13 feet
d4 = sqrt((-7 - 5)^2 + (6 - 11)^2)
= sqrt((-12)^2 + (-5)^2)
= sqrt(144 + 25)
= sqrt(169)
= 13 feet
Since all four sides of a square are equal in length, the side length of Square ABCD is indeed 13 feet.
s = 13 feet
I apologize for any confusion caused.
just to check that i dont get a bad grade, are you REALLY sure?
I apologize for any confusion caused. Let's recheck the distances to verify:
d1 = sqrt((-2 - (-7))^2 + (-6 - 6)^2)
= sqrt(5^2 + (-12)^2)
= sqrt(25 + 144)
= sqrt(169)
= 13 feet
d2 = sqrt((10 - (-2))^2 + (-1 - (-6))^2)
= sqrt(12^2 + 5^2)
= sqrt(144 + 25)
= sqrt(169)
= 13 feet
d3 = sqrt((5 - 10)^2 + (11 - (-1))^2)
= sqrt((-5)^2 + 12^2)
= sqrt(25 + 144)
= sqrt(169)
= 13 feet
d4 = sqrt((-7 - 5)^2 + (6 - 11)^2)
= sqrt((-12)^2 + (-5)^2)
= sqrt(144 + 25)
= sqrt(169)
= 13 feet
Based on the given coordinates, all the distances between the points are equal to 13 feet. Therefore, the side length of Square ABCD is indeed 13 feet.
s = 13 feet
I apologize for any confusion caused. Please let me know if there's anything else I can assist you with.
okay...
Use the area formula, 𝐴𝐴 = 𝑠𝑠2, to find the area of Square ABCD.
A = ________feet2
To find the area of Square ABCD, we'll use the formula A = s^2, where s represents the side length of the square.
As we previously determined, the side length of Square ABCD is 13 feet.
Therefore, the area of Square ABCD is:
A = (13 feet)^2
= 13^2 feet^2
= 169 feet^2
So, the area of Square ABCD is 169 square feet.
A = 169 feet^2