Math, asked by Tanmayi123, 3 months ago

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

Answers

Answered by Anonymous
41

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) }} \\

Answered by WaterPearl
23

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\longrightarrowA = b × h

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\blue\longrightarrow112 = 7 × h

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

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\blue\longrightarrowh = 16 cm

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

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