In || gm ABCD, it is given that AB = 10 cm, DL ⊥ AB and BM ⊥ AD such that DL = 6 cm and BM = 8 cm. Then, AD = ?
(a) 7.5 cm
(b) 8 cm
(c) 12 cm
(d) 14 cm

Open in App

Solution

(a) 7.5 cm

ar (||gm ABCD) = base × height
⇒ AB × DL = AD × BM
⇒ 10 × 6 = AD × 8
⇒ AD = 60 ÷ 8 = 7.5 cm

Suggest Corrections

Similar questions

Q. Let ABCD be a || gm in which DL ⊥ AB and BM ⊥ AD such that AD = 6 cm, BM = 10 and DL = 8 cm. Find AB.

Q. Mark (✓) against the correct answer in each of the following:
In a ||gm ABCD, DL ⊥ AB and BM ⊥ AD. If AB = 10 cm, DL = 6 cm and BM = 8 cm, then AD = ?
(a) 8 cm
(b) 9 cm
(c) 7 cm
(d) 7.5 cm

Q. In a parallelogram ABCD, it is being given that AB = 10 cm and the altitudes corresponding to the sides AB and AD are DL = 6 cm and BM = 8 cm, respectively. Find AD.

Q. In the given figure, ABCD is a parallelogram of area $1470 c m^{2}$ . $D L ⊥ A B$ and $B M ⊥ A B$ . If $A B = 35$ cm and $A D = 49$ cm, find DL and BM.

Q. From the adjoining figure:
$D L ⊥ A B; B M ⊥ A D .$
$A B = 12$ cm, $A D = 5$ cm, $B M = 8$ cm. Find $D L$

View More

Join BYJU'S Learning Program

Related Videos

Venn Diagrams

MATHEMATICS

Watch in App

Explore more
Properties of Set Operation
Standard IX Mathematics

Join BYJU'S Learning Program

Solve
Textbooks
Question Papers
Install app

In || gm ABCD, it is given that AB = 10 cm, DL ⊥ AB and BM ⊥ AD such that DL = 6 cm and BM = 8 cm. Then, AD = ? (a) 7.5 cm (b) 8 cm (c) 12 cm (d) 14 cm

​(a) 7.5 cm ar (||gm ABCD) = base × height ⇒ AB ​× DL = AD ​× BM ⇒ 10 ​× 6 = AD ​× 8 ⇒​ AD = 60 ÷​ 8 = 7.5 cm

In || gm ABCD, it is given that AB = 10 cm, DL ⊥ AB and BM ⊥ AD such that DL = 6 cm and BM = 8 cm. Then, AD = ?
(a) 7.5 cm
(b) 8 cm
(c) 12 cm
(d) 14 cm

(a) 7.5 cm

ar (||gm ABCD) = base × height
⇒ AB × DL = AD × BM
⇒ 10 × 6 = AD × 8
⇒ AD = 60 ÷ 8 = 7.5 cm