What will be the Area? If

If the altitude of an equilateral triangle is 12√3 cm, then it’s area would be:

  1. 72 cm2
  2. 144 √3 cm2
  3. 36 √3 cm2
  4. 12 cm2
Monis Rasool Professor Asked on 29th August 2015 in Maths.
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1 Answer(s)

Answer:  (2) 144 √3 cm2

Explanation:-

Formula – 

The altitude of  the equilateral triangle = √3 a/2
Then,  √3 a/2 = 12 √3
a/2 = 12
a = 12 x 2
a = 24 cm
Then, the side of an equilateral triangle is 24 cm.
Formula-
The area of an equilateral triangle = √3 a^2/4
Then, The area of an equilateral triangle = √3  x 24 x 24/4
= √3 x 24 x 6
= 144 √3  cm^2
Then, the area of an equilateral triangle is 144 √3 cm2

Hence, the answer is (2) 144 √3 cm2

 

Anurag Mishra Professor Answered on 31st August 2015.
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