According to the distance formula, the length of AB is 10
Distance formula:
The standard formula to find the distance between the two points is usually given by
d=√((x2 – x1)² + (y2 – y1)²).
Where this formula is used to find the distance between any two points on a coordinate plane or x-y plane.
Given,
Here we have the points A(-12, 4) and B(-6,12).
Now, we have to find the length of AB.
Let us consider the point (x1, y1) as (-12, 4) and (x2, y2) as (-6, 12).
Now, we have to apply these values on the formula in order to find the value of length,
So,
=> d = √((-6 – (-12))² + (12 – 4)²).
When we simplify this one , then we get,
=> d = √((-6)² + (8)²).
=> d = √(36 + 64).
=> d = √100
When we take the square for this value then we get the length as,
=> d = 10.
To know more about Distance formula here.
brainly.com/question/28956738
#SPJ1