Question

the area of a rhombus is 675 CM square measure of one of its diagonal is 45 cm find the measure of the second diagonal of the Rhombus​

Answer 1

Area of rhombus =675cm square

Length of one diagonal =45cm

Let the length of the another diagonal be d cm.

ACCORDING TO THE FORMULA:

Area of rhombus= 1/2*(product of diagonals)

675 =1/2*(45*d)

675*2/45 =d

30cm=d

SO,

Length of the another diagonal = 30cm. (ANSWER)

Hope it works.......

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Answer 2

Answer:

$\large \underline{\boxed{\mathsf{30cm}}}$

Step-by-step explanation:

Given :

The area of a rhombus is 675 CM square measure of one of its diagonal is 45 cm

We need to find the measure of second diagonal.

Solution :

We know that area of Rhombus is

$\boxed{\bigstar \; \dfrac{1}{2} \times {D}_{1} \times {D}_{2}}$

Where -

D1 and D2 are diagonals of rhombus.

Here let >>

$\mathsf{{D}_{1} = 45\:cm}$

$\mathsf{{D}_{2} = X}$

Now putting this values in the formula we have >>

According to Question

$\mathsf{\dfrac{1}{2} 45 \times x\:= 675 }$

$\mathsf{\implies 45 \times x\:= 675 \times 2 }$

$\mathsf{\implies 45 \times x\:= 1350 }$

$\mathsf{\implies x\:= \dfrac{1350}{45} }$

$\mathsf{\implies x\:= 30\: cm }$

Therefore We have Second Diagonal =

$\underline{\boxed{\mathsf{30cm}}}$