Using the diagonal properties, construct a parallelogram whose diagonals are of lengths \(7 \ cm\) and \(5 \ cm\), and intersect at an angle of \(140^{\circ}\).
Construction:
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
Thus, \(DUCK\) is the required parallelogram.
Answer variants:
Mark \(O\) the midpoint of the line segment \(DC\).
Draw a line segment \(DC = 7 \ cm\).
Join \(DU\), \(UC\), \(CK\) and \(KD\).
With \(O\) as centre and \(2.5 \ cm\) as radius draw two arcs on \(XY\) which intersects at \(K\) and \(U\).
Draw a line \(XY\) through \(O\) which makes \(\angle DOY = 140^{\circ}\).