Question

The value of semi - perimeter of an equilateral triangle having area $4 \sqrt{3} cm {}^{2}$is ..............cm​

Answer 1

Answer:

6cm

Step-by-step explanation:

Area of equilateral triangle=$\frac{\sqrt{3} }{4}$ $a^{2}$(where a=length of one side)

Given that ,

Area of equilateral triangle=4$\sqrt{3}$$cm^{2}$

Therefore,

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

⇒$a^{2}$ = 16

⇒a = 4cm

Semi perimeter(s) = $\frac{Sum of all sides}{2}$

s =$\frac{4+4+4}{2}$

s =$\frac{12}{2}$

s = 6cm

Hence proved

Answer 2

Answer:

6

Step-by-step explanation:

√3/4a^2=4√3

a^2=16

a=4

semi perimeter = 4+4+4/2

s=2