In Fig., ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. AB = 16 cm.

1.	In Fig., ABCD is a parallelogram, AE ⊥ DC and CF ⊥ AD. AB = 16 cm., AE = 8 cm, CF = 10cm, find AD.
Answer» ABCD is a parallelogram. AE ⊥ DC and CF ⊥ AD. AB = 16 Cm, AE = 8 cm, CF = 10 cm, then AD = ? (i) Area of ABCD = base × altitude = DC × AE ( ∵ AB=DC) = 16 × 8 = 128 sq. cm. Whether ABCD is quadrilateral, ADCB is a quadrilateral. ∴ Area of ADCB = 128 sq. cm. Base = AD = ? Altitude, CF= 100 cm. Base × Altitude = Area AD × CF = 128 AD × 10 = 128 ∴ AD = \(\frac{128}{10}\) ∴ AD = 12.8 cm.

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

Answer»

ABCD is a parallelogram.

AE ⊥ DC and CF ⊥ AD.

AB = 16 Cm, AE = 8 cm,

CF = 10 cm, then AD = ?

(i) Area of ABCD = base × altitude

= DC × AE ( ∵ AB=DC)

= 16 × 8

= 128 sq. cm.

Whether ABCD is quadrilateral,

ADCB is a quadrilateral.

∴ Area of ADCB = 128 sq. cm.

Base = AD = ?

Altitude, CF= 100 cm.

Base × Altitude = Area

AD × CF = 128

AD × 10 = 128

∴ AD = \(\frac{128}{10}\)

∴ AD = 12.8 cm.