The height of an equilateral triangle is √6 cm. The area will be-

(a) 2√3 sq. cm
(b) 3√3 sq. cm
(c) 2√2 sq.m
(d) 6√2 sq. m

Anurag Mishra Professor Asked on 8th March 2016 in Maths.
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1 Answer(s)

Answer: (a) 2√3 sq.m

Solution:-
The height of an equilateral triangle = √6

Formula-
Area of equilateral triangle = h^2/√3

Then, area of  equilateral triangle = (√6)^2/√3
 = 6/√3
 = 2 x √3 x √3/√3
 = 2 √3

So, the area of the equilateral triangle will be 2√3. 

Hence, the correct answer is option (a) 2√3. 

Anurag Mishra Professor Answered on 8th March 2016.
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