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

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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

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☛ Related Questions:

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• The area of a regular hexagon of side ‘a’ is the sum of the areas of the five equilateral triangles . . . .