SOLUTION: how do you find the length of a figure using letters? for ex: if you have AB and a=(a,ab) and B=(2a,2b)

Algebra ->  Length-and-distance -> SOLUTION: how do you find the length of a figure using letters? for ex: if you have AB and a=(a,ab) and B=(2a,2b)       Log On


   

Question 368977: how do you find the length of a figure using letters?
for ex: if you have AB and a=(a,ab) and B=(2a,2b)
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Use the distance formula,
AB%5E2=%28x%5Ba%5D-x%5Bb%5D%29%5E2%2B%28y%5Ba%5D-y%5Bb%5D%29%5E2
AB%5E2=%28a-2a%29%5E2%2B%28ab-2b%29%5E2
AB%5E2=a%5E2%2Bb%5E2%28a-2%29%5E2
highlight%28AB=sqrt%28a%5E2%2Bb%5E2%28a-2%29%5E2%29%29