Question

find the length of each side of an equilateral triangle having an area 25√3 cm² is​

Answer 1

area = 25 √ 3

area of equilateral triangle = √ 3 / 4 ✖ a ^ 2

25 √ 3 = √ 3 / 4 ✖ a^ 2

25 ✖ 4 = √3 / √3 ✖ a ^ 2

100 = 1 ✖ a ^ 2

a ^ 2 = 100

a= 10

The length of each side is 10

Answer 2

Answer:

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Step-by-step explanation:

$Let\:each\: side of \:equilateral \:triangle \:= a\\\\Area = 25\sqrt{3} cm^2\\\\Area \:of \:equilateral \:triangle =\sqrt{3} / 4 \times side^2\\\\25\sqrt{3} = \frac{\sqrt{3}}{4}\times a^2\\\\25 \times 4 = \frac{\sqrt{3} }{\sqrt{3}} \times a^2} \\\\100 = 1 \times a^2\\\\Therefore,\:length\: of \:each\: side = a^2 = 100 cm\\\\a = 10$