Question

The area o rhombus is 75cm The length of one diagonal is 15cm what will be the length of other diagonal.​

Answer 1

Given :

• Area of rhombus = 75 cm
• Length of diagonal ( d₁ ) = 15 cm

To FinD :

• Length of the other diagonal ( d₂ )

Solution :

★ Area of rhombus = ½( d₁ × d₂ )

→ 75 = ½ ( 15 × d₂ )

→ 75 × 2 = 15d₂

→ 150 = 15d₂

→ d₂ = 150/15

→ d₂ = 10

∴ Length of the other diagonal is 10 cm

Answer 2

◈Question :

The area of rhombus is 75cm. The length of one diagonal is 15 cm. What will be the length of other diagonal.

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◈Answer:

• Length of other diagonal = 10cm

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◈Given :

• Area of rhombus = 75cm
• Length of one diagonal = 15cm

◈To find :

• Length of other diagonal.

◈Formula to be used :

$\boxed {\sf {\underline Area \: of \: rhombus = \dfrac {D_1 \times D_2}{2} }}$

◈Solution :

$\sf { Area \: of \: rhombus = \dfrac {D_1 \times D_2}{2} }$

$: \implies \sf { 75 = \dfrac { 15 \times D_2}{2} }$

$: \implies \sf { 75 \times 2 = 15 \times D_2}$

$: \implies \sf { D_2 = 10cm}$

▪$\boxed {\small {\mathfrak {\underline {\green {Length \: of \: other \: diagonal \: = 10 cm}}}}}$

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Know more :

❒ What is rhombus ?

• Rhombus is a special type of parallelogram that has all sides equal. Rhombus is quadrilateral whose all sides are equal.

❒ Properties of rhombus :

• In a rhombus all sides are equal
• In a rhombus opposite angles are equal.
• Also, in a rhombus the sum of adjacent angles are supplementary i.e. (∠B + ∠C = 180°).
• In a rhombus, if one angle is right, then all angles are right

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