44. Exemplar Exercise Problem XXIII

If the points \(A \left(  1,-2 \right)\), \(B \left(  2,3 \right)\), \(C \left( a,2 \right)\) and \(D \left( -4,-3 \right)\) form a parallelogram, find the value of \(a\) and height of the parallelogram taking \(AB\) as base.

 

 

The value of the a is .

 

The height of the parallelogram is $\left(\frac{i\overline{)i}}{i}\right)$.