If the area of an equilateral triangle is 16√3 cm² , then the perimeter of the triangle is
a. 48 cm
b. 24 cm
c. 12 cm
d. 36 cm

Solution:

Given, the area of an equilateral triangle is 16√3 cm²

We have to find the perimeter of the triangle

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

16√3 = √3/4 (side)²

16 = 1/4 (side)²

(side)² = 16(4)

(side)² = 64

Taking square root,

Side = 8 cm

The length of each side of an equilateral triangle is 8 cm.

Perimeter of triangle = side + side + side

We know that in an equilateral triangle all the sides are equal

Perimeter = 8 + 8 + 8

= 16 + 8

= 24 cm

Therefore, the perimeter of the triangle is 24 cm.

✦ Try This: If the area of an equilateral triangle is 48√3 cm² , then the perimeter of the triangle is

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

NCERT Exemplar Class 9 Maths Exercise 12.1 Problem 6

If the area of an equilateral triangle is 16√3 cm² , then the perimeter of the triangle is a. 48 cm, b. 24 cm, c. 12 cm, d. 36 cm

Summary:

The area of an equilateral triangle is the space covered by the triangle in a two-dimensional plane. If the area of an equilateral triangle is 16√3 cm² , then the perimeter of the triangle is 24 cm

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