Question

Find the distance between the two points, and round your answer to thenearest hundredth. (19,12) and (41,71)

Answer 1

The distance between the points, rounded up is 62.97

To find the distance between two points we use the formula:

`\begin{gathered} P=(x_(p,)y_p);Q=(x_q,y_q) \\ \text{Distance}=\sqrt[]{(x_q-x_p)^2+(y_q-y_p)^2} \end{gathered}`

We rest the coordinates, square then, add them and take square root.

But essencially it's the pythagorean theorem, where the legs of the triangle is the differnce of the coordinates.

In this case, we have (19, 12) and (41, 71)

Then:

`D=\sqrt[]{(19-41)^2+(12-71)^2}=62.9682`

And rounded up is 62.97