Math, asked by kundhana70, 5 months ago

3. Find the area of equilateral triangle whose side is 2 cm
ROOT 6
ROOT 3
ROOT 2​

Answers

Answered by SitaramKeLuvKush
207

Given

  • SIDE of Equilateral triangle = 2 cm

We Find

  • Area of given equilateral triangle

We Know

Area of equilateral triangle is :-

 \boxed  {\red{\frac{ \sqrt{3} }{4} \times  {Side}^{2} }}

According to the question

Area of equilateral triangle =  {\frac{ \sqrt{3}}{4} \times {a}^{2}} \\ \\

Area of equilateral triangle =  {\frac{ \sqrt{3}}{4} \times  {2}^{2}} \\ \\

Area of equilateral triangle =  {\frac{ \sqrt{3}}{4} \times  {4}} \\ \\

Area of equilateral triangle =  {\frac{ \sqrt{3}}{\cancel{4}} \times  {\cancel{4} }} \\ \\

Area of equilateral triangle =   { \sqrt{3} } \\ \\

Hence Area of equilateral triangle is  {\pink{ \sqrt{3} }}

Answered by Rohitranawatyadav
0

Answer:

hyy sis here is ur answer....

Step-by-step explanation:

Given

SIDE of Equilateral triangle = 2 cm

We Find

Area of given equilateral triangle

We Know

Area of equilateral triangle is :-

\boxed {\red{\frac{ \sqrt{3} }{4} \times {Side}^{2} }}

4

3

×Side

2

According to the question

Area of equilateral triangle = \begin{gathered} {\frac{ \sqrt{3}}{4} \times {a}^{2}} \\ \\\end{gathered}

4

3

×a

2

Area of equilateral triangle = \begin{gathered} {\frac{ \sqrt{3}}{4} \times {2}^{2}} \\ \\\end{gathered}

4

3

×2

2

Area of equilateral triangle = \begin{gathered} {\frac{ \sqrt{3}}{4} \times {4}} \\ \\\end{gathered}

4

3

×4

Area of equilateral triangle = \begin{gathered} {\frac{ \sqrt{3}}{\cancel{4}} \times {\cancel{4} }} \\ \\\end{gathered}

4

3

×

4

Area of equilateral triangle = \begin{gathered} { \sqrt{3} } \\ \\\end{gathered}

3

Hence Area of equilateral triangle is {\pink{ \sqrt{3} }}

3

Similar questions