Q. 84.5( 6 Votes )

If each side of an equilateral triangle is tripled then what is the percentage increase in the area of the triangle.

Answer :

To Find: Percentage increase in the area of the triangle

Given: Each side of the equilateral triangle is tripled


Concept Used:


Area of an equilateral triangle


Where a = side of the triangle.


Explanation:


The original area of the triangle


New side = 3a


New Area of the triangle


New Area of the triangle


Therefore,


New Area = 9 times Original Area


Change in Area = New Area – Original Area


Change in Area = 8 Area of original triangle


%age change in Area


%age change in Area = 800 %


Hence, the Percentage change in area is 800%.


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