Let
where
Therefore
Hello, PTL!
Yet another approach . . .
Did you make a sketch?
Let be the area of the parallelogram with vertices:
, and
Find a formula forWe have a rhombus.Code:| 2t+1 + - - - - - - - - - - o v+w | * *: | * * : | v * * : 2t + - - o * : | * * : 1+ * o w : | * * : : | * * : : |* * : : - - o - - + - - - - + - - * - - (0,0) 1 2t 2t+1
If are diagonals of a rhombus,
. . the area of the rhombus is: .
The long diagonal goes from to
. .
The short diagonal goes from to
. .
Hence: .
Therefore: .