Question

the area of an equilateral triangle is 3√3 cm2. find the length of each side is​

Answer 1

Answer:

2√3cm

Step-by-step explanation:

Let the side be x.

Now,

area of a equilateral triangle = (√3/4)*(side)^2

APQ

(√3/4)*x^2=3√3

x^2=(3√3)*(4/√3)

x=√12=2√3

Therefore, x=2√3

Answer 2

Answer:

a=3.464 cm

Step-by-step explanation:

Method 1:

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

3√3=√3/4×a²

Where 'a' is the side of the triangle

√3 gets cancelled

3×4=a²

12=a²

⇒a=√12

⇒3.464 cm

Method 2:

Area of a triangle=1/2×a×h

Area=3√3

Where a is the side (which is the base)

Height of an equilateral triangle, h = (√3/2)a

So substitute h

3√3=1/2×a×(√3/2)a

2×2/√3×3√3=a²

√3 gets cancelled

2×2×3=a²

12=a²

⇒a=√12

⇒a=3.464 cm

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