Question

The base and corresponding altitude of a parallelogram are 10 cm and 12 cm respectively. If the other altitude is 8 cm, find the length of the other pair of parallel sides.

Answer 1

Let ABCD is a parallelogram with side AB = CD = 10 cm (Since opposite sides of parallelogram are equal) and corresponding altitude AM = 12 cm.
The other side is AD and the corresponding altitude is CN = 8 cm.
We know that area of a parallelogram = Base $\times$ Height
We have two altitudes and two corresponding bases.
So, by equating them we get
AD $\times$ CN = CD $\times$ AM
AD $\times$ 8 = 10 $\times$ 12
AD = (10$\times$12)/8 = 15 cm
Hence, the length of the pair of the paralle sides = 15 cm.