Find the distance and midpoint between
\((\sqrt{2},1) and (\sqrt{3},2)\)
This page requires the assistance of Knight Melody of the radian table. I need urgent response if I am to get a good grade. Knight CPhill will also be most helpful here.
I know the distance formula and how to use it. I just got confused with the radicals. To foil or not to foil?
( √2 , 1) ( √3 , 2)
Distance
sqrt [ ( √3 - √2)^2 + (2 -1)^2 ] =
sqrt [ 3 - 2√6 + 2 + 1 ] =
sqrt [ 6 - 2√6 ] = about 1.049 units
Midpoint
[ ( √3 + √2 ) / 2 , (2 + 1) / 2 ] =
[ ( √3 + √2 ) / 2 , 3 / 2 ] [this is exact, Spawn ...!!! ]
HAIL the Mighty Silver Knight CPhill of the Radian table. May His Awesomeness Last forever.
Thank you.
( √2 , 1) ( √3 , 2)
Distance
sqrt [ ( √3 - √2)^2 + (2 -1)^2 ] =
Notice,Spawn ( √3 - √2)^2 = ( √3 - √2) * ( √3 - √2) =
√3*√3 - 2√3*√2 + √2 *√2 =
3 - 2√6 + 2
So we have.....
sqrt [ 3 - 2√6 + 2 + 1 ] =
sqrt [ 6 - 2√6 ] = about 1.049 units
Midpoint
[ ( √3 + √2 ) / 2 , (2 + 1) / 2 ] =
[ ( √3 + √2 ) / 2 , 3 / 2 ] [this is exact, Spawn ...!!! ]