# What will be the Area? If

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

- 72 cm
^{2} - 144 √3 cm
^{2} - 36 √3 cm
^{2} - 12 cm
^{2}

**Answer: (2) 144 √3 cm ^{2}**

**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 cm^{2}

Hence, the answer is (2) 144 √3 cm^{2}