The area of an equilateral triangle with side 2√3 cm is
a. 5.196 cm²
b. 0.866 cm²
c. 3.496 cm²
d. 1.732 cm²

Solution:

Given, the side of an equilateral triangle = 2√3 cm

We have to find the area of the equilateral triangle.

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

= √3/4 (2√3)²

= √3/4 (4 × 3)

= 3√3

Consider √3 = 1.732

= 3 × 1.732

= 5.196 cm²

Therefore, the area of an equilateral triangle is 5.196 cm²

✦ Try This: The area of an equilateral triangle with side 2 cm is

Given, the side of an equilateral triangle = 2 cm

We have to find the area of the equilateral triangle.

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

= √3/4 (2)²

= √3/4 (4)

= √3

Consider √3 = 1.732

= 1.732 cm²

Therefore, the area of an equilateral triangle is 1.732 cm²

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

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NCERT Exemplar Class 9 Maths Exercise 12.1 Problem 4

The area of an equilateral triangle with side 2√3 cm is a. 5.196 cm², b. 0.866 cm², c. 3.496 cm², d. 1.732 cm²

Summary:

An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The area of an equilateral triangle with side 2√3 cm is 5.196 cm²

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☛ Related Questions:

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