Question

9. The length of each side of an equilateral triangle having an area of 4_/3 cm² is a) 3 cm b) 4 cm c) 16 cm d) 2 cm​

Answer 1

a = 6

Step-by-step explanation:

Let each side of equilateral triangle = a Area = 9-√3 cm sq.

Area of equilateral triangle = √3 / 4 x side

sq.

9√3 = √3/4 × a^2

9 x 4√3 / √3 × a^2

36 = 1 × a^2

Therefore, length of each side = a^2 = 36 cm.

a = 6

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Answer 2

Answer:

Given : area of an equilateral triangle is 4√3 cm².

To find :  Length of each side of an equilateral triangle.

We will find the length of each side of an equilateral triangle by using the formula for area of an equilateral triangle :  

Area of an equilateral triangle ,A =  √3a²/4

A =  √3a²/4

4√3 = √3a²/4

4√3 × 4 = √3a²

16√3 = √3a²

a² = (16√3)/√3  

a² = 16

a = √16  

a = 4 cm  

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

Option (B) 4 cm is correct.  

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