Question

find the side of equilateral triangle whose area is 156 underroot 3 cm​

Answer 1

Answer:

Let the side of the equilateral triangle be a cm

area of the triangle

43 a

2 =64

3⇒a 2= 34×64×

3⇒a 2=256⇒a=16

perimeter of the triangle=3a=3×16=48 cm

Answer 2

Answer:

Area of equilateral triangle =

$\frac{ \sqrt{3} }{4} a {}^{2}$

where 'a' is the side of equilateral triangle

Step-by-step explanation:

$\frac{ \sqrt{3} }{4} a {}^{2} = 156 \sqrt{3}$

$a {}^{2} = 156 \sqrt{3} \times \frac{4}{ \sqrt{3} }$

$a {}^{2} = 624$

$a = \sqrt{624}$