Question

In Parallelogram ABCD, let AM be the altitude corresponding to the base BC and CN
the altitude corresponding to the base AB. If AB = 10 cm, AM = 6 cm, and CN = 12 cm
then find BC.​

Answer 1

Step-by-step explanation:

Area of parallelogram =Base×Altitude

AB=12,cm

Altitude corresponding to AB=8cm

∴ DE=8cm

⇒ Area of parallelogram ABCD=AB×DE

=12×8

=96cm

2

If AD=10cm, then AD would be the new base because a altitude is drawn in it. So let the altitude corresponding to AD be CF.

⇒ Area of parallelogram ABCD=AD×CF

⇒ 96=10×CF

⇒ CF=

10

96

⇒ CF=9.6cm

The altitude corresponding to AD is 9.6cm