SOLUTION: Okay, i have 4 points i had to graph A(-2,3) B(-2,9) C(5,9) D(5,3) The question i need help on is: Find the length of the diagonal from A to C. PLEASE HELP ME! Thank yo

Algebra ->  Graphs -> SOLUTION: Okay, i have 4 points i had to graph A(-2,3) B(-2,9) C(5,9) D(5,3) The question i need help on is: Find the length of the diagonal from A to C. PLEASE HELP ME! Thank yo      Log On


   

Question 476319: Okay, i have 4 points i had to graph
A(-2,3) B(-2,9) C(5,9) D(5,3)
The question i need help on is:
Find the length of the diagonal from A to C.
PLEASE HELP ME! Thank you!
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
plot the points on your graph.
draw the figure.
find the diagonal.
get the endpoints of the diagonal.
solve for the length of the diagonal using the length formula.
your 4 points are:
A         (-2,3)
B         (-2,9)
C         ( 5,9)
D         ( 5,3)

Looks like A will be directly below B because they both have the same x coordinate.
Looks like C will be directly to the right of A because they both have the same y coordinate.
Looks like D will be directly below C because they both have the same x coordinate.
Looks like D will be directly to the right of A because they both have the same y coordinate.
I would guess you have a rectangle.
It will have 2 diagonals.
They will be from A to C and from B to D.
Since this is a rectangle, they should both have the same length because the diagonals of a rectangle are equal in length to each other.
First we'll solve for the length of AC and then we'll solve for the length of BD.
AC extends from point A to point C.
Those points are:
point        x value        y value
A               -2             3
C                5             9

BD extends from point B to point D.
Those points are:
point        x value         y value
B              -2               9
D               5               3

The formula for length of a line is:
length of a line equals sqrt%28%28x1-x2%29%5E2+%2B+%28y1-y2%29%5E2%29
Substitute the points for A and C in the formula and you will get a length of sqrt%2885%29 for AC.
Substitute the points for B and D in the formula and you will get a length of sqrt%2885%29 for BD.
Their length are the same, as they should be if we are looking at a rectangle.
Based on the points, I believe we are.
A picture of what this object would look like is shown below.
***** picture not found *****