Find the distance between A and B.
A= the coordinates ( 6, 1)
B= the coordinates ( 2, -3)
answer choices are:
A. 8 units
B. 16 units
C. 2 times the square root of 2 units
D. 4 times the square root of 2 units
as you know a^2+b^2=c^2, so if a=b,
c = √(2a^2) = a√2
In this case, a=4
thank you so much! <3
To find the distance between points A and B, you can use the distance formula, which is derived from the Pythagorean theorem.
The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Here, (x1, y1) represents the coordinates of point A, and (x2, y2) represents the coordinates of point B.
Let's calculate the distance using the given coordinates for points A and B:
A = (6, 1)
B = (2, -3)
Applying the distance formula:
d = √((2 - 6)^2 + (-3 - 1)^2)
First, subtract the x-coordinates:
2 - 6 = -4
Then, subtract the y-coordinates:
-3 - 1 = -4
Next, square the x-difference and the y-difference:
(-4)^2 = 16
(-4)^2 = 16
Add the squared differences:
16 + 16 = 32
Finally, take the square root of the sum:
d = √32
This value cannot be simplified further since 32 does not have any perfect square factors. Therefore, the answer is C. 2 times the square root of 2 units.