find the length of each side of an equilateral triangle having and 4 root 3 cm square
plz answer
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Step-by-step explanation:
Plz verify the attachment.
Length of each side = 4 cm
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Answered by
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Answer:
4
Step-by-step explanation:
( Answer applicable if it is area not and)
as we know, area of equilateral triangle = (a²× root 3)/4*
therefore
4 root 3 = ( a² × root 3)/4
4 = a²/4
16 = a²
a =4
* explanation of area of equilateral triangle
let a = side
therefore
perimeter = 3a
semi perimeter = 3a/2
by heron's formula
area of triangle = root[s×(s-a)×(s-b)×(s-c)] where a,b,c are sides and s is semi perimeter
area = root[3a/2 × (3a/2 - a)^3]
area = root[3a/2 × a/2 × a/2 × a/2]
area = a/2 × root[3×a/2 × a/2]
area = a/2 × a/2 × root 3
area = (a²×root3)/4
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