1

Problem

Find the length of the line segment between points P(8, 5) and Q(4, 3).

2

Step

Let us the given points \$(x_1 , y_1) & (x_2 , y_2)\$

(8, 5) & (4, 3)

3

Formula

To find the length of the line segment between two points, you can use the distance formula: \$d = \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\$.

4

Step

Substitute the values into the distance formula

d = \$\sqrt((4 − 8)^2 + (3 − 5)^2)\$
d = \$\sqrt((-4)^2 + (-2)^2)\$
d = \$\sqrt 20\$

5

Formula

So, the length of the line segment between points (8, 5) and (4, 3) is \$\sqrt 20\$.

6

Sumup

Please summarize Problem, Clue, Hint, Formula, Steps and Solution

Choices

7

Choice-A

It is correct because it accurately represents the length of the line segment between points P and Q

Correct \$\sqrt20\$

8

Choice-B

This is the incorrect answer. The distance we calculated is \$\sqrt 20\$, \$\sqrt 2\$

Wrong \$\sqrt 2\$

9

Choice-C

This is the incorrect answer. The distance we calculated is \$\sqrt 20\$, \$\sqrt11\$

Wrong \$\sqrt11\$

10

Choice-D

This is the incorrect answer. The distance we calculated is \$\sqrt 20\$, \$\sqrt12\$

Wrong \$\sqrt12\$

11

Answer

Option

A

12

Sumup

Please summarize choices