Question

3. In parallelogram ABCD, AB = 12 cm. Altitudes DM and DN
correspond to bases AB and BC respectively. If DM = 5 cm
and DN = 6 cm, then find the length of BC.​

Answer 1

Answer:

area of parellelogram= base×height

AB×DM=BC×DN

12×5=BC×6

BC=10

Answer 2

The length of BC=10 cm

Step-by-step explanation:

In parallelogram ABCD

AB=12 cm=CD

BC=AD

Altitude DM and DN correspond to bases AB and BC.

DM=5 cm and DN=6 cm

Area of parallelogram=$Base\times height$

Using the formula

Area of parallelogram=$AB\times DM=12\times 5=60cm^2$

Area of parallelogram=$BC\times DN$

Area of parallelogram=$BC\times 6$

$60=6\times BC$

$BC=\frac{60}{6}=10cm$

Hence, the length of BC=10 cm

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