Question

Find the distance from point A to XZ. round to nearest 10th!​

Answer 1

Answer:

$\large \boxed{4.1}$

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.

$\begin{array}{rcl}AX^{2} & = & AW^{2} + WZ^{2}\\& = & 4^{2} + 1^{2}\\& = & 16 + 1\\& = & 17\\AZ & = & \sqrt{17}\\& \approx & \mathbf{4.1}\\\end{array}\\\text{The distance from A to XZ is } \large \boxed{\mathbf{4.1}}$