Question

When the area of a Rhombus is 112 cm square and the base is 7 cm, Find its altitude.

Answer 1

Given:

• Base = 7 cm
• Area = 112 cm²

To Find:

• Length of Altitude?

Formula Used:

$\\ \bigstar{\underline{\boxed{\tt\large{ \green{Area_{(Rhombus)} } = Base_{(b)} × Height_{(h)} }}}}$

Where

• b = Base
• h = Height ( Altitude)

Solution:

${\underbrace{\tt\large{ Concept \ Used }}}$

A rhombus is a special case of a parallelogram, and it is a four-sided quadrilateral. In a rhombus, opposite sides are parallel and the opposite angles are equal. Moreover, all the sides of a rhombus are equal in length, and the diagonals bisect each other at right angles.

After substituting values,

$\implies$ a = b × h

$\implies$ 112 = 7 × h

$\implies$ 112/7 = h

$\implies$ h = 16 cm

Hence,

• The Length of the Altitude of the Rhombus is 16 cm.

$\bigstar{\underline{\tt\pink{ Formula \ related \ to \ Rhombus :- }}}$

$\\ \bullet \: \: {\sf\red{ Area_{(Rhombus)} = \dfrac{1}{2} d_{1} d_{2} }} \\ \\ \bullet \: \: {\sf\red{ Area \ Using \ Altitude_{(Rhombus)} = b \times h }} \\ \\ \bullet \: \: {\sf\purple{ Area \ Using \ Trigonometry_{(Rhombus)} = (Base)^2 × sin(a) }}$

Answer 2

Correct Question

When the area of a Rhombus is 112 cm² and the base is 7 cm, Find its altitude.

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Given

Base = 7 cm

Area = 112 cm²

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To Find

Length of Altitude.

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Formula Used

${ \underline{ \underline{ \boxed{ \large{ \sf{ \green{Area \: of \: Rhombus = base \times height}}}}}}}</p><p>$

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Solution

After,Substituting values

$\red\longrightarrow$A = b × h

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$\blue\longrightarrow$112 = 7 × h

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$\red\longrightarrow$ $\sf{\dfrac{112}{7}}$

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$\blue\longrightarrow$h = 16 cm

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Hence,The length of the Altitude of Rhombus is 16 cm.