Prove that the Area of an …
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Prove that the Area of an equilateral triangle is equal to √3/4a2,where a is the side of the triangle.
Posted by Sakshi Dabral 8 years, 9 months ago
- 2 answers
Abhishek Kayal 8 years, 9 months ago
Let take all sides be a
a=a
b=a
c=a
Put it in heron's formula
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Rashmi Bajpayee 8 years, 9 months ago
In an equilateral triangle, all sides are equal. Let the lenght of side be a unit.
Then, Semi Perimeter (s) = (a + a + a)/2 = 3a/2
Usinf Heron's formula,
Area of equilateral triangle = [s{s - a}{s - b}{s - c}] 1/2
= [3a/2{(3a/2) - a}{(3a/2) - a}{(3a/2) - a}] 1/2
= [3a/2{a/2}{a/2{{a/2}] 1/2
= [3a4/16] 1/2
= (3)1/2a2/4
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