Question

In parallelogram ABCD, the length of the altitude corresponding to AB is 8 cm. What is the length of the altitude corresponding to BC?

Answer 1

The Area Of Parallelogram ABCD IS Base×Height
Base=AB=20 cm
Height =DM=8cm
Area= 20×8=160 sq cm
Area Of same Parallelogram ABCD =AD×DN
AD=10cm
DN=?
160 sq cm=10*DN
DN=160÷10
DN=16cm

Answer 2

The length of the altitude corresponding to BC is 16 cm.

Step-by-step explanation:

1. Given data

  AB = 20 cm

  BC = AD = 10 cm (opposite side in parallelogram are equal)

  DM =8 cm

  DN = unknown

2. Area of parallelogram = Base × corresponding altitude to base     ...1)

3. If we select base as a side AB , its corresponding altitude is DM.

4. Similarly if we select base as a side BC , its corresponding altitude is DN.

5. Now from equation 1)

   Area of parallelogram = Base × corresponding altitude to base

   Area of parallelogram = BC× DN = AB× DM

   Area of parallelogram = 10× DN = 20× 8        ...2)

6. From equation 2), we get

   DN = 16 cm = This is corresponding altitude to side BC.