Question

the area of rhombus is 148.8cm square if one of its diagonals is 19.2 cm find the length of other diagonal

Answer 1

Answer:

The length of the other diagonal = 15.5 cm

Step-by-step explanation:

Given data  

area of the rhombus = 148.8 cm²  

one of its diagonal  d₁ = 19.2 cm  

here we need to find length of the other diagonal d₂

we know that area of the rhombus = $\frac{1}{2}$ d₁d₂

                  ⇒ 148.8 = $\frac{1}{2}$ (19.2) (d₂)

                  ⇒ d₂ = 2(148.8) / 19.2    

                  ⇒ d₂ = 15.5 cm

⇒ the length of the other diagonal = 15.5 cm

Answer 2

Given,

Area of rhombus = 148.8cm square

one of its diagonals = 19.2 cm

To find,

Length of the other diagonal

Solution,

Let the diagonal be y

Area = 1/2 x d x y = 148.8cm sq

1/2 x 19.2y = 148.8

9.6y = 148.8

y = 148.8/9.6

y = 15.5

Thus the 2nd diagonal is 15.5cm