Find the distance from point a to xz. round to nearest 10th!

The AZ is perpendicular line from A to line XZ, the perpendicular distance is 4.1 units. The reason for the answer is below.

Step-by-step explanation:

Given:

A(3,3)

X(-4,-3)

Z(4,-1)

Y(2,-1.5)

To find:

The (perpendicular) distance from point A to side XZ.T

The perpendicular distance is the distance from A to Z. Let's use the distance formula.

Distance between two points (x1,y1) and (x2,y2) is

Now, for A(3,3) and Z(4,-1)

Distance =

Simplify it,

            =

            =

            =

            ≈4.1 units

The distance from point A to side XZ is 4.1 units.

You can learn more:

link.

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.

step-by-step explanation:

it's is b