The lengths of two adjacent sides in a parallelogram are cm and cm.
If its greater height is cm, find its smaller height approximated to the nearest centimetre.
Step 1: Find the parallelogram's area.
A parallelogram's smaller height corresponds to the longer base of a parallelogram (and vice versa).
So, use the formula for the area of a parallelogram, with the base of cm and the greater height of cm.
Step 2: Find the length of the smaller height.
Use the formula for the area of a parallelogram, with a base of cm and the smaller height.
Substitute the area determined in step 1. Let represent the smaller height, and solve for the value of .
So, the length of the smaller height to the nearest centimetre is cm.