On decreasing each side of an equilateral triangle by 2 cm, there is a decrease of 4√3 cm 2 in its area. The length of each side of the triangle is ?->(Show Answer!)

1. On decreasing each side of an equilateral triangle by 2 cm, there is a decrease of 4√3 cm 2 in its area. The length of each side of the triangle is

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By: anil on 05 May 2019 01.53 am

Area of an equilateral triangle= $$(frac{sqrt3}{4}) imes(a)^{2}$$
where a is side.
When a reduced to (a-2)
Area difference = 4$${sqrt3}$$
$$(frac{sqrt3}{4})$$($$(a)^{2}-(a-2)^{2})$$= 4$${sqrt3}$$
4a-4=16
a=5 (C)

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