Question

If the area of an epuilateral 81√3cm² find its diameter

Answer 1

Answer:9√3 cm

Step-by-step explanation:

Area of equilateral triangle=√3 a^2/4

Given area is 81√3.

Thus a^2=81√3*4/√3

=81*4

a=9*2=18 cm.

Side is 18cm.

Perimeter=3* side=3*18=54 cm.

1/2 b*h= area of a triangle

Here area is 81√3 and base=18.

There fore height=2*81√3/18

=9√3 cm.

Cheers. Mark brainliest.

Answer 2

Answer:

273.78 cm

Step-by-step explanation:

$\text{Let the side of the square be a cm.}\\\\\text{Then, area = a}^2.\\\\\text{But, given area = 81} \sqrt{3} \: cm^2.\\\\\implies a^2 = 81 \sqrt{3}\\\\\implies a = \sqrt{81 \times 1.7} = 11.7 \: cm\\\\\text{Diagonal of a square = 2(a)}^2\\\\= 2 \times (11.7)^2 \\\\= 2 \times 136.89\\\\= \boxed{\boxed{\bold{273.78 \: cm}}}$