Question

What in the area of an equilateral triangle with side 2 cm .
a. underroot 6cm2
b. underroot 3cm2
c. underroot 8cm2
d. 4 cm 2

Answer 1

Answer:

answer a.under root 6cm 2

Answer 2

Answer :–

• Correct option is B) √3 cm².

Given :–

• Side of an equilateral triangle = 2cm.

To Find :–

• Area of an equilateral triangle.

Solution :–

We know that,

Area of equilateral triangle = $\sf \sqrt{\dfrac{3}{4}} \times {side \: (a)}^{2}$

We have,

• Side (a) = 2cm.

Now, substitute the given value of side (a) in the formula of the area of an equilateral triangle.

$\rightarrow \sqrt{ \dfrac{3}{4} } \times {(2\: cm)}^{2}$

$\rightarrow \sqrt{ \dfrac{3}{ \cancel 4} } \times 2 \: cm \times \cancel2 \: cm$

$\rightarrow \sqrt{ \dfrac{3}{ \cancel{2}} } \times \cancel2 \times 1 \: {cm}^{2}$

$\rightarrow \sqrt{ \dfrac{3}{1} } \times 1 \times 1 \: {cm}^{2}$

$\rightarrow \sqrt{3} \: {cm}^{2}$

Hence,

The area of an equilateral triangle is √3 cm².

So, the correct option is (b) √3 cm².