Question

if the area of an equalateral triangle is 36 route 3 find the length of its side and its perimeters​

Answer 1

Answer:

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

43

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)