Question

area of an equilateral triangel of side 2 cm is

Answer 1

Answer:

Given,

Area of equilateral triangle = (√3/4) a²

Here side(a) = 2 cm

= (√3/4) (2)²

= (√3/4) x (2) x (2)

= (√3) 

= √3 cm²

Therefore area of an equilateral triangle whose side is 2 cm is √3 cm²

Answer 2

Answer:

Then, Area of equilateral triangle =

4

3

×a

2

According to the question,

⇒

4

3

×(a+2)

2

=

4

3

a

2

+2

3

⇒

3

[

4

1

×(a

2

+4a+4)]=

3

(

4

1

a

2

+2)

⇒

4

a

2

+a+1=

4

a

2

+2

⇒

4

a

2

−

4

a

2

+a=2−1

∴ a=1cm