# The area of the equilateral triangle is 20√3 cm² whose each side is 8 cm. Is the given statement true or false and justify your answer.

**Solution:**

Given, area of the equilateral triangle is 20√3 cm²

Length of each side = 8 cm

We have to determine if the given statement is true or false.

__Area of equilateral triangle__ = √3/4 (side)²

= √3/4 (8)²

= √3/4 (64)

= √3(16)

Area = 16√3 cm²

Therefore, the given statement is false.

**✦ Try This: **Write True or False and justify your answer: The area of the equilateral triangle is 30√3 cm² whose each side is 6 cm.

Given, area of the equilateral triangle is 30√3 cm²

Length of each side = 6 cm

We have to determine if the given statement is true or false.

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

= √3/4 (6)²

= √3/4 (36)

= √3(9)

Area = 9√3 cm²

Therefore, the given statement is false.

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

**NCERT Exemplar Class 9 Maths Exercise 12.2 Problem 4**

## The area of the equilateral triangle is 20√3 cm² whose each side is 8 cm. Is the given statement true or false and justify your answer.

**Summary:**

The given statement “The area of the equilateral triangle is 20√3 cm² whose each side is 8 cm” is false

**☛ Related Questions:**

- If the side of a rhombus is 10 cm and one diagonal is 16 cm, the area of the rhombus is 96 cm². Is t . . . .
- The base and the corresponding altitude of a parallelogram are 10 cm and 3.5 cm, respectively. The a . . . .
- The area of a regular hexagon of side ‘a’ is the sum of the areas of the five equilateral triangles . . . .

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