# The length of each side of an equilateral triangle having an area of 9√3 cm² is

a. 8 cm

b. 36 cm

c. 4 cm

d. 6 cm

**Solution:**

Given, the __area of an equilateral triangle__ is 9√3 cm²

We have to find the length of each side of an equilateral triangle

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

9√3 = √3/4 (side)²

9 = 1/4 (side)²

(side)² = 9(4)

(side)² = 36

Taking square root,

Side = 6 cm

Therefore, the length of each side of an equilateral triangle is 6 cm.

**✦ Try This: **The length of each side of an equilateral triangle having an area of 4√3 cm² is

Given, the area of an equilateral triangle is 4√3 cm²

We have to find the length of each side of an equilateral triangle

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

4√3 = √3/4 (side)²

4 = 1/4 (side)²

(side)² = 4(4)

(side)² = 16

Taking square root,

Side = 4 cm

Therefore, the length of each side of an equilateral triangle is 4 cm.

**☛ Also Check: **NCERT Solutions for Class 9 Maths Chapter 12

**NCERT Exemplar Class 9 Maths Exercise 12.1 Problem 5**

## The length of each side of an equilateral triangle having an area of 9√3 cm² is a. 8 cm, b. 36 cm, c. 4 cm, d. 6 cm

**Summary:**

In geometry, a triangle with all equal sides is said to be an equilateral triangle. The length of each side of an equilateral triangle having an area of 9√3 cm² is 6 cm

**☛ Related Questions:**

- If the area of an equilateral triangle is 16√3 cm² , then the perimeter of the triangle is a. 48 cm, . . . .
- The sides of a triangle are 35 cm, 54 cm and 61 cm, respectively. The length of its longest altitude . . . .
- The area of an isosceles triangle having base 2 cm and the length of one of the equal sides 4 cm, is . . . .

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