Question

the area of a rhombus is 570sq cm if one of the diagonal is 34 cm find the length of the other diagonal​

Answer 1

Correct Question

• The area of a rhombus is 570sq cm if one of the diagonal is 38 cm. Find the length of the other ddiagonal.

Given

• Area of a rhombus is 570cm².
• Length of one diagonal is 38cm.

⠀

To find

• Length of another diagonal.

⠀

Solution

• Let the another diagonal be d.

⠀

As we know that,

⠀

$\star{\boxed{\sf{\orange{Area_{(Rhombus)} = \dfrac{1}{2} \times d_1 \times d_2}}}}$

⠀

• Putting the values

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {Area = 570}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {\dfrac{1}{2} \times 38 \times d = 570}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {19 \times d = 570}$

⠀

$\tt:\implies\: \: \: \: \: \: \: \: {d = \dfrac{570}{19}}$

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$\tt:\implies\: \: \: \: \: \: \: \: {d = 30}$

⠀

Hence,

• The length of another diagonal is 30cm.

Answer 2

Answer:

30 cm

Step-by-step explanation:

Correct Question

The area of a rhombus is 570sq cm if one of the diagonal is 38 cm. Find the length of the other ddiagonal.

Given

Area of a rhombus is 570cm².

Length of one diagonal is 38cm.

⠀

To find

Length of another diagonal.

⠀

Solution

Let the another diagonal be d.

⠀

As we know that,

⠀

\star{\boxed{\sf{\orange{Area_{(Rhombus)} = \dfrac{1}{2} \times d_1 \times d_2}}}}⋆

Area

(Rhombus)

=

2

1

×d

1

×d

2

⠀

Putting the values

⠀

\tt:\implies\: \: \: \: \: \: \: \: {Area = 570}:⟹Area=570

⠀

\tt:\implies\: \: \: \: \: \: \: \: {\dfrac{1}{2} \times 38 \times d = 570}:⟹

2

1

×38×d=570

⠀

\tt:\implies\: \: \: \: \: \: \: \: {19 \times d = 570}:⟹19×d=570

⠀

\tt:\implies\: \: \: \: \: \: \: \: {d = \dfrac{570}{19}}:⟹d=

19

570

⠀

\tt:\implies\: \: \: \: \: \: \: \: {d = 30}:⟹d=30

⠀

Hence,

The length of another diagonal is 30cm.