Question

In a parallelogram ABCD the length of altitude corresponding to AB is 8cm . What is the length of the altitude corresponding to Bc?​

Answer 1

Answer:

SOLUTION

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.

Answer 2

Answer:

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