Respuesta :

znk

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]

Ver imagen znk

Answer:

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

[tex]\sqrt{(y2-y1)^{2}+(x2-x1)^{2} }[/tex]

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

Distance = [tex]\sqrt{(-1-3)^{2} +(4-3)^{2} }[/tex]

Simplify it,

            =[tex]\sqrt{(-4)^{2} +(1)^{2} }[/tex]

            =[tex]\sqrt{16+1}[/tex]

            =[tex]\sqrt{17}[/tex]

            ≈4.1 units

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

You can learn more:

https://brainly.com/question/14770442.

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