The points A(2,1), B(3,6), C(5,-2) and D (1,-2) are the vertices of a parallelogram.fine |AC| and |BD|.are they equal in length? Question The points A(2,1), B(3,6), C(5,-2) and D (1,-2) are the vertices of a parallelogram.fine |AC| and |BD|.are they equal in length? in progress 0 Math Remi 3 weeks 2021-09-09T02:07:06+00:00 2021-09-09T02:07:06+00:00 1 Answer 0

## Answers ( )

Answer:|AC| =√18 and |BD| =√68. They are not equal in length.

Step-by-step explanation:To find |AC| and |BD| of the parallelogram, we will simply use the distance formula.

Using the line distance formula;

D = √(–)² + (–)²

A(2,1) C(5,-2)

=2 =1 = 5 =-2

|AC| = √(–)² + (–)²

=√(-2-1)² + (5-2)²

=√(-3)² + (3)²

=√9+9

=√18

Distance |AC| =√18

B(3,6) D (1,-2)

=3 =6 = 1 =-2

|BD| = √(–)² + (–)²

=√(-2-6)² + (1-3)²

=√(-8)² + (-2)²

=√64+4

=√68

Distance |BD| =√68

|AC| and |BD| are not equal in length