Question

If the area an equilateral triangle is 81√3 cm2, Find its height​

Answer 1

Step-by-step explanation:

ANSWER

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

×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

Answer 2

Please check the image provided :)