Question

Area of rhombus is 120cm2 and one of the diagonal is 6cm.Find other diagonal.​

Answer 1

AnSwer -:


The other diagonal of Rhombus is

40 cm. _____________________________

Explanation-:

Formula of area of Rhombus-:

“A = 1/2 x d1 x d2”

A = Area

D1 = Diagonal 1

D2 = Diagonal 2

______________________________

Given ,

Diagonal 1 of Rhombus-:6 cm

Area of Rhombus-: 120 cm^2

To find ,

Diagonal 2 of Rhombus

______________________________

Formula of area of Rhombus-:

“A = 1/2 x d1 x d2”

A = Area = 120 cm^2

D1 = Diagonal 1 = 6 cm

D2 = Diagonal 2 = ??

Now ,

1/2 x 6 x d2 = 120 cm^2

3 x d2 = 120 cm^2

D2 = 120/3

D2 = 40 cm

Hence ,

The other diagonal of Rhombus is

40 cm.

______________________________

Verification-:


Formula of area of Rhombus-:

“A = 1/2 x d1 x d2”

A = Area = 120 cm^2

D1 = Diagonal 1 = 6 cm

D2 = Diagonal 2 = 40 cm

Now,

1/2 x 6 x 40 = 120 cm^2

3 x 40 = 120 cm^2

120 cm^2 = 120 cm^2

Therefore,

LHS = RHS

Hence verified

______________________________

Rhombus-: A rhombus is a quadrilateral

(plane figure, closed shape, four sides)

with four equal-length sides and

opposite sides parallel to each other.

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