Question

15. If the area of an equilateral triangle is 36/3 cm’, find its perimeter​

Answer 1

Step-by-step explanation:

Area of an Equilateral triangle = \frac{ \sqrt{3} }{4}

4

3

a²

a = side of each side of the triangle

Now equating,

\frac{ \sqrt{3} }{4}

4

3

a² = 36√3

a² = \frac{36 \sqrt{3}* 4}{ \sqrt{3} }

3

36

3

∗4

[√3 gets cancelled]

a² = 36×4

a = √6×6×2×2 = 12cm

Hence, side= 12cm

Perimeter = (Side + Side + Side)

= (12 + 12 + 12) cm = 36 cm (answer)

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Answer 2

Answer:

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Step-by-step explanation:

Area of equilateral triangle =

4

3

(side)

2

∴

4

3

(side)

2

=36

3

(side)

2

=36×4

=9×4×4

=(4×3)

2

side=12cm

perimeter =3×side

=3×12

=36cm

Or

The area of an equilateral triangle is 36√3cm2. Its perimeter is. Solution : √34×a2=36√3⇒a2=144⇒a=12.