Construct a parallelogram ABCD in which AB = 6.5 cm,

Steps of construction:

Step 1: Draw AB= 6.5cm

Step 2: Draw a perpendicular at point A. Name that ray as AX. From point A, draw an arc of length 2.5 cm on the ray AX and name that point as L.

Step 3: On point L, make a perpendicular. Draw a straight line YZ passing through L, which is perpendicular to the ray AX.

Step 4: Cut an arc of length 3.4 cm on the line YZ and name it as C.

Step 5: From point C, cut an arc of length 6.5 cm on the line YZ. Name that point as D.

 Step 6: Join BC and AD.

Therefore, quadrilateral ABCD is a parallelogram.

The altitude from C measures 2.5 cm in length.