Answer:
[tex]\sqrt{106}[/tex] is the length of AT
Step-by-step explanation:
To find the length of AT you have to use the distance formula which is [tex]d=\sqrt{(x_{2}-x_{1} )^{2} +(y_{2}-y_{1} )^{2} }[/tex]
So we have the points (0,0) and (5,9)
All we have to do is substitute the points into the equation
[tex]d=\sqrt{(5_{}-0_{} )^{2} +(9_{}-0_{} )^{2} }[/tex]
You then get
[tex]d=\sqrt{(5 )^{2} +(9 )^{2} }[/tex]
Then square the values and then add them
[tex]d=\sqrt{(25 ) +(81 )}[/tex]
[tex]d=\sqrt{106}[/tex]
Then simplify what is in the radical, in this case that is all you can do
Your final answer is [tex]d=\sqrt{106}[/tex]
