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

If the length of the side of an equilteral triangle is 'a' the corresponding altitude is _____________________

Right Option : C
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Explanation
Question : 2

Side of an Equilateral triangle is  6cm. Area of the triangle is _______________

Right Option : A
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Explanation
Question : 3

The area of an equilateral triangle with side 2sqrt{3};cm is

Right Option : A
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Explanation
 
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