Question

Find the area of a rhombus whose side is 6 cm and whose altitude is 4 cm if one of the diagonal is 8 cm long find the length of the Other diagonal​

Answer 1

Answer:-

• Area of rhombus = 24 cm²

• Length of the other diagonal = 6 cm.

Step by step Explaination:-

Given:-

the side of the rhombus, b = 6 cm

Also, Given the altitude of rhombus , h = 4 cm,

Solution:-

Area of the rhombus when base(side) and altitude(h)

are given is given by A = base × height

Thus, Area of rhombus = 6 × 4  cm²

Area of rhombus = 24 cm².

Given one of the diagonal is of length  8 cm,

Let d₁ = 8 cm.

Let the length of the other diagonal be d₂.

If d₁, d₂ length of the diagonals are known, then

Area of rhombus is given by A = 1/2×d₁×d₂,

But we know, A = 24

Hence, 1/2×d₁×d₂ = 24

1/2×8×d₂ = 24

d₂ = 6 cm.

Hence, length of the other diagonal of rhombus

is 6 cm.

Hope, it helps !

Answer 2

Answer:

Answer will be = 6cm

Step-by-step explanation:

Given ,

side of other rhombus = 6cm

Altitude , h = 4cm

Area of rhombus = base x height

= 6x4

=24cm²

The length of one diagonal is 8 cm

let d1 be 8 cm

the length of other diagonal be d2

We know , A = 24cm²

Area of rhombus= ½ x d1 x d2

= ½ x 8 x d2 = 24

d2 = 6cm

Hence the length of other diagonal is 6cm

May it help ful to you