Question

Find the length of each side of an equilateral triangle of area 4root3

Answer 1

Hey !!




Area of equilateral triangle = 4√3



√3/4 × Side² = 4√3



Side² = 4√3 × 4 / √3

Side² = 16


Side = √16 = 4 cm.


Hence,

Each side of equilateral triangle is 4 cm.

Answer 2

Area of Equilateral triangle = 4√3
=> √3/4 a^2 = 4√3
=> a^2 = 4√3 x 4/√3
=> a^2 = 4 x 4
=> a = √16
=> a = 4

Here, "a" is the side of Equilateral triangle. In this traingle all of its side are equal and each angle measuring as 60°.


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