Question

5. The length of each side of an equilateral triangle having an area of 9 root 3 cm' is
(A) 8 cm
(B) 36 cm
(C) 4 cm
(D) 6 cm​

Answer 1

Let each side of equilateral triangle = a

Area = 9√3 cm sq.

Area of equilateral triangle = √3 / 4 × side sq.

9√3 = √3 /4 × a

9 × 4 = √3 / √3 × a

36 = 1 × a

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

Answer 2

Answer:

6cm (d)

Step-by-step explanation:

Given: Area of an equilateral triangle = 9√3

Therefore, area of an equilateral triangle = √3/4 (side)^2

=√3/4(side)^2 = 9√3

=(side)^2 = 36

= side = 36/2

= side = 6cm

therefore, length of each side of a triangle is 6cm