Question

The length of each side of an equilateral triangle of area 18 root 3cm sq

Answer 1

Hi ,

Let the side of a equilateral

triangle = a cm

Area of the triangle ( A ) = 18√3 cm²

( √3/4 ) a² = 18/√3

=> a² = ( 18 × 4 )/( √3 × √3 )

=> a² = ( 18 × 4 )/3

=> a² = 6 × 4

a = 2√6 cm

Therefore ,

side of equilateral triangle = a = 2√6cm

I hope this helps you.

: )

Answer 2

$area \: of \: an \: equliteral \: triangle = \frac{ \sqrt{3} }{4} {a}^{2} \\ 18 \sqrt{3} = \frac{ \sqrt{3} }{4} {a}^{2} \\ 18 \times 4 = {a}^{2} \\ {a}^{2} = 3 \times 3 \times 2 \times 2 \times 2 \\ a = 3 \times 2 \times \sqrt{2} \\ = 6 \sqrt{2} cm$
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