Step-by-step explanation:
right.
to give a little bit more explanation :
we are using actually the Pythagoras formula for right-angled triangles
c² = a² + b²
with c being the Hypotenuse = the opposite side of the 90 degree angle.
now imagine 2 points in a grid of coordinates.
to go from point 1 to point 2 you go for example first a certain distance parallel to the x-axis, and then another distance parallel to the y-axis.
as you can see, you build that way a right-angled triangle, with the direct connection from point 1 to point 2 being the Hypotenuse.
so the direct distance (c) between A and B is then using the Pythagoras formula based on the coordination unit changes we have to make in x and y direction.
A is at coordinates (4,6). Ax = 4, Ay = 6
B is at coordinates (3,-4). Bx = 3, By = -4
so, going from A to B, the distance in x-direction is the difference between 4 and 3 (= 1), and the distance in y- direction is the difference between 6 and -4 (= 10).
since all values are squared first in that formula, it does not matter, if we calculate for example 4-3 or 3-4. but it is important to always only calculate x with x and y with y.
so, c² = 1² + 10² or -1² + (-10)² = 101
and c = sqrt (101) as the other answer calculated already correctly.
