Question

find the area of a rhombus whose side is 5cm and whose altitude is 4.8cm. If one of its diagonal is 8cm long, find the length of other diagonal.

Answer 1

Step-by-step explanation:

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.

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Answer 2

Answer:

area =altitude x base

5cmx 4.8cm

=24cm sq.

one diagonal =8cm

length of other diagonal = 1/2 xd1 X d2

24 =1/2 X 8 xd2

=d2 = 16/24

= 0.66