The area of an equilateral triangle

Question:

The area of an equilateral triangle with side 2√3 cm is

(a) 5.196 cm2                             

(b) 0.866 cm2                     

(c) 3.496 cm2                       

(d) 1.732 cm2

Solution:

(a) Given, side of an equilateral triangle is 2√3 cm.

Area of an equilateral triangle = √3/4 (Side)2

= √3/4 (2√3)2 = (√3/4) x 4 x 3

= 3√3 = 3 x 1.732 = 5.196 cm2

Hence, the area of an equilateral triangle is 5.196 cm2.

 

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