- #1
Alex126
- 84
- 5
Homework Statement
The coordinates of the parallelogram ABCD are:
A (-2; 1)
B (5; 2)
C (6; 5)
D (-1; 4)
We also know that the diagonals intercept in the middle of each other (so if the diagonals are AC and BD, and the intercept in point M, then AM = MC, and BM = MD). Not sure if this information is useful or not though.
Homework Equations
Area = base * height
The Attempt at a Solution
So...yea, no clue actually.
I know how to calculate AB = CD = (...) = 5√2
Likewise, BC = AD = (...) = √10
For what they're worth:
AC = 4√5
BD = 2√10
I tried googling around for an answer, and everyone seems to solve it with these steps:
- Calculate the line passing through A and B
- Calculate the distance between point C (or D) and the line passing through AB; this gives you the height
- Do AB*height
However, we didn't do lines equations at school, so this assigned problem should probably be done in some other way (Pythagorean theorem, distance between two points, middle point of a segment).