Question

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

Answer 1

Question :

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

Solution :

We know that the area of parallelogram is = Base × Height.

For full solution refer to the above attachment.

Answer 2

The parallelogram is same but having different heights and bases but the area will remain same .

Using the same rule :

Base × Height = AB×AE = 10×6 = 60 cm²

Base × Height = FC×AD = 8AC cm²

60 cm² = 8AC cm² [Equals are equal to each other ]

AC = 7.5 cm