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If the Area of an Equilateral Triangle is `81sqrt3 Cm^2` Find Its Height. - Mathematics

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If the area of an equilateral triangle is `81sqrt3 cm^2` find its height. 

 

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Solution

Area of equilateral triangle=`81sqrt3 cm^2` 

Area of equilateral triangle =`(sqrt3/4xxa^2)` where a is the length of the side  

⇒ `81sqrt3=sqrt3/4xxa^2` 

⇒`324=a^2` 

⇒ `a=18 cm` 

Height of triangle=`sqrt3/2xxa` 

=`sqrt3/2xx18` 

=`9sqrt3 cm`

 

 

Concept: Areas of Combinations of Plane Figures
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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 17 Perimeter and Areas of Plane Figures
Q 12
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