Question

The area of rhombus is 240cm². If one of the diagnols is 16cm, what is the length of other diagnol???

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Answer 1

Step-by-step explanation:

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Answer 2

$\large\underline\pink{Given:-}$

• Area of the Rhombus is 240 cm²
• And one of its diagonal is 16 cm.

$\large\underline\pink{To find:-}$

• Find the other diagonal of the Rhombus ....?

$\large\underline\pink{Solutions:-}$

• Let the one diagonal be 16 cm.
• Let the other diagonal be x cm.

$\: \: \: \: \: Area \: \: of \: \: Rhombus \: \: \frac{1}{2} \: \times {d_1} \: \times \: {d_2}$

$\: \: \: \: \: \leadsto \: \: {240} \: \: = \: \: \frac{1}{\cancel{2}} \: \times \cancel{16} \: \times \: {x}$

$\: \: \: \: \: \leadsto \: \: {240} \: \: = \: \: {8} \: \times \: {x}$

$\: \: \: \: \: \leadsto \: \: {240} \: \: = \: \: {8x}$

$\: \: \: \: \: \leadsto \: \: {x} \: \: = \: \: \frac{240}{8}$

$\: \: \: \: \: \leadsto \: \: {x} \: \: = \: \: {30} \: cm$

Hence, the other diagonal of the rhombus is 30cm.

$\large\underline\pink{Property \: \: Of \: \: Rhombus:-}$

1. A rhombus all side are equal.
2. A rhombus opposite angle are equal.
3. A rhombus the sum of adjacent angle angle supplementary i.e. (<A + <D = 180°).
4. A rhombus, each diagonal of a rhombus divides it into two congruent triangle.
5. A rhombus, if one angle is right, then all angle are right.
6. Diagonal of a rhombus bisect each other and also perpendicular to each other.

$\large\underline\pink{More \: \: Important :-}$

• Area of rhombus = b × h
• Perimeter of rhombus = 4 × side

where,

• b = base
• h = height
• p = perimeter
• a = area