# What is The Length of Its Sides ?

If the sides of an equilateral triangle be increase by 1 m its area is increased by √3 sq m. The length of its sides is

- 2 m
- 5/2 m
- 3/2 m
- √3

**Answer: (3) 3/2 m**

**Explanation;-**

The side of a equilateral triangle be increase = 1 m

**Formula-**

**The area of a equilateral triangle =Sqrt.3 x a ^{2}/4**

**Where, a = die of a equilateral triangle**

side increase by 1m then, area increased by sqrt.2

Then, sqrt.3 (a + 1)

^{2}/4 – sqrt.3 x a

^{2}/4 = sqrt.2

sqrt.3 [(a + 1)

^{2}– a

^{2}]/4 = sqrt.3

sqrt.3[a

^{2}+ 1 + 2a – a

^{2}]/4 = sqrt.3

sqrt.3[2a + 1] = 4 x sqrt.3

2a + 1 = 4

2a = 4 – 1

a = 3/2 m

Hence, the length of the side is 3/2 m.