Question

find the length of each side of an equilateral triangle having area of 9 root 3 cm square

Answer 1

Answer:

6 cm.

Step-by-step explanation:

• Area o equilateral triangle = √3/4 x side²

Let the side be x cm.

A/Q , √3/4 · x² = 9√3

 ⇒ x² = 9 x 4

∴ x  = 6.

Answer 2

Solution :

Let the side length of an

equilateral triangle = a cm

Area of an equilateral triangle = A

A = 9√3 cm² ( given )

=> ( √3/4 ) a² = 9√3

=> a² = ( 9√3 )( 4/√3 )

=> a² = 9 × 4

=> a = √36

=> a = √6²

=> a = 6

Therefore ,

a = 6 cm

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