Question

find the area of equilateral triangle having square of the length of sides is square root 3/4 cm ​

Answer 1

Find the length of the each side of an equilateral triangle having an area of √3 cm².

Solution:

Information provided to us-

Area of the equilateral triangle = √3 cm²

Let each side of equilateral triangle be 's' cm.

We know that area of the equilateral triangle is equal to (√3 / 4 ) * s², where 's' denotes the measurement of each equal side.

Hence,

(√3 / 4 ) * s² = √3

=> s²√3 / 4 = √3

=> s² = √3 * ( 4 / √3 )

=> s² = 4

=> s = √4

=> s = √( 2 * 2 )

=> s = 2 cm

Therefore,

Length of each side of equilateral triangle = 2 cm

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