Find area of rhombus in which side is 5 cm and altitude is 4.8 cm. If one diagonal is 8 cm find length of other diagonal.

Rhombus is a parallelogram with all sides equal to each other.

Answer: The area of the rhombus with side 5 cm and altitude 4.8 cm is 24 cm^{2} and the length of the other diagonal is 6 cm.

Let's draw the diagram of rhombus ABCD then find the length of other diagonal.

Explanation:

Let's draw the diagram of rhombus ABCD according to the given question.

Side of the rhombus = 5cm

AB = BC = CD = DA = 5cm (Since all the sides of a rhombus are equal)

Area of a rhombus = Base × Height (Since, rhombus is also a parallelogram)

= 5 cm × 4.8 cm (Since, altitude = 4.8cm)

= 24 cm²

Also,

Area of a rhombus = (Product of the digonals)/2

Let, DB = d₁ = 8cm and CA = d₂

Area of a rhombus = (d₁ × d₂)/2

=> (d₁ × d₂)/2 = 24

=> DB × d₂ = 48

=> 8 × d₂ = 48

=> d₂ = 48/8

=> d₂= 6

Hence, AC = 6cm