Question

two adjacent sides of a parallelogram are 12 cm and 8 cm . If the length of the altitude corresponding to the side 12cm is 6cm find the altitude corresponding to the other pair of sides

Answer 1

Area of parallelogram which altitude corresponding to the side of 12cm =area of parallelogram which altitude corresponding to 8cm 
altitude x base = altitude x base 
6cm x12cm = altitude x 8cm
altitude =9cm 

Answer 2

Given:

• Two adjacent sides of the parallelogram are 12 cm and 8 cm respectively.
• The altitude of parallelogram corresponding to 12 cm side is 6 cm

To Find:

• The altitude corresponding to the other side.

Solution:

• We know that area of parallelogram = base * its altitude.
• We have altitude of one side and base of one side so the area of one side can be found.
• Area of the first side of parallelogram = 12*6 = 72 $cm^2$
• The area remains same everywhere, we can find the altitude of another side using the area and given base.
• Let "x" be the altitude of another side.
• 72 = 8*x
• x = 72/8 = 9cm

The altitude of side 8 cm is 9 cm.