Area of Equilateral Triangle


 
 
Concept Explanation
 

Area of Equilateral Triangle

Area of an equilateral triangle : 

An equilateral triangle is a triangle in which all the sides are equal.Area of equilateral triangle of side 'a'

 Area= frac{sqrt{3}}{4}a^{2};sq.;units

Illustration: Find the area of an equilateral triangle, of each side 4 units.

Solution : Given side is '4'.

Area of equilateral triangle with side 'a' frac{sqrt{3}}{4}a^{2} sq. units

large therefore Area with side = frac{sqrt{3}}{4} times(4)^{2}sq. units

                          =  frac{sqrt{3}}{4} times 16

                          =  4 sqrt3 cm^2  sq. units

Illustration : Find the area of an equilateral triangle, of each side 2a units.

Solution : Given side is '2a'.

Area of equilateral triangle with side 'a' frac{sqrt{3}}{4}a^{2} sq. units

large therefore Area with side 2a frac{sqrt{3}}{4}(2a)^{2} sq. units =     sqrt{3a^{2}} sq. units

Sample Questions
(More Questions for each concept available in Login)
Question : 1

A piece of wire 132 dm long is bent successively in the shape of an equilateral triangle, a square and a circle,  the area included is largest when the shape is _____________________.

Right Option : D
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Explanation
Question : 2

One side of an equilateral triangle is 30 cm. Its area is ______________.

Right Option : B
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Explanation
Question : 3

If the altitude of an equilateral triangle is sqrt {6}; cm, its area is

Right Option : A
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Explanation
 
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