Question

What in the area of an equilateral triangle with side 2
cm?
V6 cm2
V3 cm?
✓8 cm2
4 cm?​

Answer 1

√3/4(a^2)

= √3/4(2^2)

=√3/4(4)

=√3 cm

Answer 2

Correct Question :-

What is the area of an equilateral triangle with side 2cm?

• √6 cm²
• √3 cm²
• √8 cm²
• 4 cm²

Answer

The area of equilateral triangle is √3cm².

[option 2. √3cm²]

Step-by-step explanation:

To Find :-

• The area of equilateral triangle.

★ Solution

Given that,

• The side of triangle = 2cm.

We know,

$\dag \: \: \underline{ \boxed{\sf{Area \: of \: equilateral \: \triangle = \dfrac{\sqrt{3}}{4} \: {a}^{2}}}}$

Where,

• a = side of triangle

Therefore,

$\sf{ \longrightarrow \: \: \dfrac{\sqrt{3}}{4} \: {a}^{2}}$

$\sf{ \longrightarrow \: \: \dfrac{\sqrt{3}}{4} \times {a}^{2}}$

$\sf{ \longrightarrow \: \: \dfrac{\sqrt{3}}{4} \times {(2)}^{2}}$

$\sf{ \longrightarrow \: \: \dfrac{\sqrt{3}}{4} \times 4}$

$\sf{ \longrightarrow \: \: \dfrac{\sqrt{3}}{ \not{4}} \times \not{4}}$

$\longrightarrow \: \boxed{ \sf{\sqrt{3}{cm}^{2}}}$

Hence, The area of equilateral triangle is √3cm².