In Fig. 9.15, ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

Question

In Fig. 9.15, ABCD is a parallelogram, AE &#x22A5; DC and CF &#x22A5; AD. If AB = 16 cm, AE = 8 cm and CF = 10 cm, find AD.

Philoid · Accepted Answer

In parallelogram ABCD, CD = AB = 16 cm

[Opposite sides of a parallelogram are equal]

We know that,

Area of a parallelogram = Base × Corresponding altitude

Area of parallelogram ABCD = CD × AE = AD × CF

16 cm × 8 cm = AD × 10 cm

Thus, the length of AD is 12.8 cm