Question

In a parallelogram ABCD, AE is perpendicular to DC and CF is perpendicular to AD. If AB = 10 cm, AE = 6 cm and CF = 8 cm, then find AD.​

Answer 1

Answer:

Given,

Parallelogram ABCD

pAE = 8cm

AB = 16cm

CF = 10cm

In a parallelogram, we know that opposite sides are equal.

Therefore, CD = AB = 16cm

To find the value of AD, the base is multiplied with height.

Area of parallelogram = b x h

16 x 8 = AD x 10

128 = 10AD

AD = 12.8cm

Answer 2

Answer:

Step-by-step explanation:

Given:  

AE = 8cm

AB = 16 cm

CF = 10 cm

In a parallelogram ABCD, “CD = AB = 16 cm” (∵Opposite sides of parallelogram are equal)

The value of AD can be found by multiplying base by height. Both base and height of parallelogram is perpendicular each other.

Area of parallelogram = B x H

Area of ABCD = AE x CD = AD x CF

16 x 8 = AD x 10

128 = AD x 10

AD = 12.8 cm.