Question

20 cm Fig. 1634 2. In parallelogram ABCD, AB = 2BC. If the length of the altitude corresponding to AB is 10 cm, what is the length of the altitude corresponding to BC?​

Answer 1

Answer:

20 cm Fig. 1634 2. In parallelogram ABCD, AB = 2BC. If the length of the altitude corresponding to AB is 10 cm, what is the length of the altitude corresponding to BC?​20 cm Fig. 1634 2. In parallelogram ABCD, AB = 2BC. If the length of the altitude corresponding to AB is 10 cm, what is the length of the altitude corresponding to BC?​

Step-by-step explanation:20 cm Fig. 1634 2. In parallelogram ABCD, AB = 2BC. If the length of the altitude corresponding to AB is 10 cm, what is the length of the altitude corresponding to BC?​20 cm Fig. 1634 2. In parallelogram ABCD, AB = 2BC. If the length of the altitude corresponding to AB is 10 cm, what is the length of the altitude corresponding to BC?​

Answer 2

Answer:

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In a parallelogram ABCD, AB=12 cm and the altitude corresponding to AB is 8 cm. if AD=10 cm, then the altitude corresponding to AD is equal to

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Correct option is

C

9.6 cm

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