Question

its area.
Find the area of a rhombus whose side is 5 cm and whose altitude is 4.8 cm.
If one of its diagonals is 8 cm long, find the length of the other diagonal.
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Answer 1

Answer:

• Length of other diagonal = 6 cm.

Step-by-step explanation:

Given:-

• Side of rhombus = 5 cm
• Altitude = 4.8 cm

To Find:-

• Length of other diagonal.

Solution:-

Since,

• A rhombus is also a parallelogram.

•°•Area of rhombus = Area of parallelogram

= Base × Height

According to the question:-

Putting,

Base = side = 5 cm

Area of rhombus = Base × Height

→ 5 × 4.8

→ 5 × 48/10

→ 48 × 1/2

→ 24 cm^2

Therefore,

• Area of rhombus:- 24 cm^2

Finding length of diagonal:-

Given,

• Length of one diagonal = d1 = 8 cm

Let length of other diagonal = d2

Now,

• Area of rhombus = 1/2 × d1 × d2

(putting values)

→ 24 = 1/2 × 8 × d2

→ 24 = 4 × d2

→ 24/4 = d2

→ 6 = d2

→ d2 = 6

Hence,

• Length of other diagonal = 6 cm.

Answer 2

Question-

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

Answer-

Area of the rhombus = Base × Length = 5 cm × 4.8 cm = 24 cm²

Also,

   Area of rhombus = 1/2 × Product of its diagonals

⇒ 24 = 1/2 (AD × CB)

⇒ 24 = 1/2 (x × 8 cm)

⇒ x × 4 = 24

⇒ x = 24/4

⇒ x = 6 cm

Thus the length of the other diagonal is 6 cm