Math, asked by disha1219, 9 months ago

find the length of each side of an equilateral triangle having and 4 root 3 cm square
plz answer ​

Answers

Answered by veerendraprasad1756
1

Step-by-step explanation:

Plz verify the attachment.

Length of each side = 4 cm

Attachments:
Answered by prateekkwatra
1

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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