Question

Find the length of segment GH with endpoints G(5, -9) and H(-6, -7)



( Show all your work)

Answer 1

Answer:

5√5

Step-by-step explanation:

To find the length in the cordinate system the formula is

√{ (y2 - y1)^2 + (x2 - x1 )^2 }

G(5 , -9)   x1 = 5     y1 = -9

H(-6 , -7)   x2 = -6  y2= -7

By adding all the values we get

√{ (-7 + 9)^2 + ( -6 - 5 )^2 } =

√125 = √(25 x 5) = 5√5

So the final answer is 5√5