3. Find the area of equilateral triangle whose side is 2 cm
ROOT 6
ROOT 3
ROOT 2
Answers
Given
- SIDE of Equilateral triangle = 2 cm
We Find
- Area of given equilateral triangle
We Know
Area of equilateral triangle is :-
According to the question
Area of equilateral triangle =
Area of equilateral triangle =
Area of equilateral triangle =
Area of equilateral triangle =
Area of equilateral triangle =
Hence Area of equilateral triangle is
Answer:
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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