Math, asked by man3meet, 11 months ago

Area of an equilateral triangle is 4 root 3. Find its side

Answers

Answered by roshni1101
3

Answer:

area of equilateral triangle=√3/4a^2

4√3=√3/4a^2

a^2=4x4

a=4

therefore side of the given equilateral triangle is 4

Answered by antonyvinod
3

Answer: 4

Step-by-step explanation:

Area of an Equilateral Triangle = \frac{\sqrt{3} }{4} a^{2}

where a = length of the side

given  

a = 4\sqrt{3}

that means

\frac{\sqrt{3} }{4} a^{2}= 4\sqrt{3}

this can be re written as

a^{2} =  frac{16\sqrt{3}}{\sqrt{3} } = 16\\

taking square root on both sides :

we get a = 4

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