In the diagram, $ABCD$ is a square. Find $PR.$

The side length of the square is 10. L, M, N, O are midpoints.

Akhain1 Mar 15, 2024

#1**+1 **

Start out by drawing out your answer on graph paper.

Point A is at (0,0), Point B is at (10,0), Point C is at (10,10) Point D is at (0,10).

Then you can draw each of the lines. The equations for each of the lines are: DL: y = -2x + 10, NB: y = -2x + 20, OC: y = 1/2x + 5, and AM: y = 1/2x.

After drawing out all of the lines, you can find that Point R is at (6,8) and point P is at (4,2).

Use the distance formula or pythag to find the length between the two points.

\(\sqrt{2^2+6^2}=\sqrt{40}=2\sqrt10\)

**Answer: \(2\sqrt10\)**

jilin73 Mar 15, 2024

#1**+1 **

Best Answer

Start out by drawing out your answer on graph paper.

Point A is at (0,0), Point B is at (10,0), Point C is at (10,10) Point D is at (0,10).

Then you can draw each of the lines. The equations for each of the lines are: DL: y = -2x + 10, NB: y = -2x + 20, OC: y = 1/2x + 5, and AM: y = 1/2x.

After drawing out all of the lines, you can find that Point R is at (6,8) and point P is at (4,2).

Use the distance formula or pythag to find the length between the two points.

\(\sqrt{2^2+6^2}=\sqrt{40}=2\sqrt10\)

**Answer: \(2\sqrt10\)**

jilin73 Mar 15, 2024