Question

What is the length of segment AC?

Answer 1

The length of segment AC is 10
To solve this you have to use distance formula which is the square root of (x2-x1)^2 + (y2-y1)^2 so it doesn’t matter which point we make x 1 as long as the other point is x2 so first find the coordinates of point a and point c a is (3,-1) and c is (-5,5) so since I’m gonna make point a x1 and y1 point c is x2 and y2 so you plug the numbers into the distance formula (-5-3)^2 and (5- -1)^2 so it simplifies to -8^2 which is 64+ 6^2 which is 64+36= 100 so the last step is to square root that and you get 10 which is the length of segment AC