Question

AT has endpoint at A(0,0) and T(5,9). How long is AT?

Answer 1

`√(106)` is the length of AT

Explanation:

To find the length of AT you have to use the distance formula which is
`d=\sqrt{(x_(2)-x_(1) )^(2) +(y_(2)-y_(1) )^(2) }`

So we have the points (0,0) and (5,9)

All we have to do is substitute the points into the equation

`d=\sqrt{(5_{}-0_{} )^(2) +(9_{}-0_{} )^(2) }`

You then get

`d=\sqrt{(5 )^(2) +(9 )^(2) }`

Then square the values and then add them

`d=√((25 ) +(81 ))`

`d=√(106)`

Then simplify what is in the radical, in this case that is all you can do

Your final answer is
`d=√(106)`