Question

what is the height of an equilateral triangle if the area is 81root of 3

Answer 1

Step-by-step explanation:

Let each side of an equilateral triangle be "a" cm

Area of an equilateral triangle =81

3

cm

2

(Given)

Area of an equilateral triangle =

4

3

(side)

2

⇒81

3

=

4

3

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×a

2

⇒a

2

=324

or a=18cm

Now,

Height of an equilateral triangle =

2

3

(side)=

4

3

(18)=9

3

cm.

Perimeter =3(side)=3×12=36cm