In parallelogram ABCD, AB = 10 cm. The altitudes corresponding to the sides AB and AD are respectively 7 cm and 8 cm. Find AD. [2 MARKS]

Open in App

Solution

Diagram : 0.5 Mark
Concept : 0.5 Mark
Calculation : 1 Mark

Let the altitude corresponding to $A B$ be $h_{1}$ and let the altitude corresponding to $A D$ be $h_{2}$ .

$∵ ar(ABCD) = base \times height$ ,
$A B \times h_{1} = A D \times h_{2}$

$A D = A B \times \frac{h 1}{h 2} = 10 \times \frac{7}{8} = 8.75 c m$

Suggest Corrections

Similar questions

In a parallelogram $A B C D$ , $A B = 10 c m$ . The altitudes corresponding to the sides $A B$ and $A D$ are respectively $7 c m$ and $8 c m$ . Find $A D$ .

Q. In a parallelogram

A B C D

A B = 10 c m

and altitude corresponding to sides

A B

and

A D

are respectively,

7 c m

and

8 c m

, then find

A D

Q. In a parallelogram ABCD, AB = 10 cm. The altitude corresponding to the sides AB and AD are respectively 7 cm and 8 cm. Find AD.

Q. In

11

A B C D

A B = 10 c m

. The altitudes corresponding to the sides

A B

and

A D

are respectively

7 c m

and

8 c m

find

A D

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.

Join BYJU'S Learning Program

In parallelogram ABCD, AB = 10 cm. The altitudes corresponding to the sides AB and AD are respectively 7 cm and 8 cm. Find AD. [2 MARKS]

Diagram : 0.5 Mark Concept : 0.5 Mark Calculation : 1 Mark Let the altitude corresponding to AB be h1 and let the altitude corresponding to AD be h2. ∵ar(ABCD) = base×height, AB×h1=AD×h2 AD=AB×h1h2=10×78=8.75 cm