The area of an equilateral triangle is 2 √3cm^2. Find its side.
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Explanation:
In equilateral triangle - all sides are same
so, each side - x
then, area of triangle = 1/2b × h
2√3 = 1/2b×h
4√3 = b×h ( here b = h )
4√3 = x²
x = √(4√3)
x = 2×4^√3cm..
Answered by
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Given:-
- An equilateral triangle of side = 2√3cm.
To find:-
- Find it's area..?
Solutions:-
- Let the area of triangle be x cm.
Area of equilateral triangle = √3/4 × (side)²
=> √3/4 × (side)² = x
=> √3/4 × 2√3 = x
=> 2 × 3 /4 = x
=> 6/4 = x
=> 3/2 = x
- Hence, the area of equilateral triangle is 3/2.
Some Important:-
- Base and height. A = 1/2 b × h (where b = base , h = height)
- Three side . A = √s(s - a)(s - b)(s - c) (where a, b and c are the length of the side)
- Two sides and including angle (where a, b and two sides and c is the angle between them.)
- Equilateral triangle A = S² × √3/4 (where s = side).
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