Find the distance from point A to XZ. round to nearest 10th!
Accepted Solution
A:
Answer:[tex]\large \boxed{4.1}[/tex]Step-by-step explanation:You want to find the length of AZ.Create a new point W at (3, -1).Then we can make a new right triangle AWZ in which AZ is the hypotenuse.We can apply Pythagoras' Theorem.[tex]\begin{array}{rcl}AX^{2} & = & AW^{2} + WZ^{2}\\& = & 4^{2} + 1^{2}\\& = & 16 + 1\\& = & 17\\AZ & = & \sqrt{17}\\& \approx & \mathbf{4.1}\\\end{array}\\\text{The distance from A to XZ is } \large \boxed{\mathbf{4.1}}[/tex]