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?
1 answer:
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
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