Welcome to Westonci.ca, your one-stop destination for finding answers to all your questions. Join our expert community now! Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Given the line segment with points P (1,6) andQ (9,-4). What is the length of PQ?(2 Points)

Sagot :

When 2 coordinate points are given, we can find its length by using the distance formula. Which is

[tex]\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

We

• take differences in y coordinates and x coordinates

,

• square them

,

• take their sum

,

• take square root of the answer

Tha's all.

So, let's do the steps:

y diff: -4 -6 = -10

x diff: 9-1 = 8

Now, it becomes:

[tex]\begin{gathered} \sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ =\sqrt[]{(-10)^2+(8)^2} \\ =\sqrt[]{164} \\ =2\sqrt[]{41} \end{gathered}[/tex]

The length of PQ (exact) is:

[tex]2\sqrt[]{41}[/tex]

In decimal: 12.81