Question

Find the area of a rhombus whose side is 5cm and it's altitude is 4cm .If one of its diagonal is 8cm long . find the length of the diagonal.​

Answer 1

Answer:

Solution:-

Area of the rhombus = Side × Length of the altitude

= 5*4.8

= 24 sq cm

Now,

Let the length of the other diagonal = x

It is known that the area of a rhombus is half the product of its diagonals.

∴ (1/2) × 8 × x = 24

⇒ 4x = 24

⇒ x = 6 cm

The length of the other diagonal is 6 cm.

Answer 2

Answer:

Area of parallelogram

= base * height

So,area of rhombus

= 4*5 = 20 cm^2

Now, area of rhombus

=diagonal 1 *diagonal 2 / 2

So, 20 cm^2=8 * diagonal 2 / 2

20 * 2= 8 * diagonal 2

diagonal 2 = 40/8

( DIAGONAL 2 = 5 CM)