Question

if the area of equilateral triangle is 16 route 3cm square. Then, find the perimeter of the triangle.​

Answer 1

Answer:

$\green{perimeter=24cm}$

Step-by-step explanation:

$\boxed{given}$

area of an equilateral traingle=

$16 \sqrt{3} cm {}^{2}$

$\boxed{Tofind}$

perimter of thw equilateral traingle

$\boxed{Answer}$

area of an equilateral traingle

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

where "a" is a side

To find the perimter of the equilateral traingle first we need to find the side of the triangle

which is

$16 \sqrt{3} cm {}^{2} = \frac{ \sqrt{3} }{4} a {}^{2}$

$64 \sqrt{3} cm {}^{2} = \sqrt{3} a {}^{2}$

$\frac{64 \sqrt{3} cm {}^{2} }{ \sqrt{3} } = a {}^{2}$

$\sqrt{64cm {}^{2} } = a$

$8 cm = a$

The lenth of the side of the equilater triangle is 8cm ,

now we know that all sides of the equilateral triangle are equal

so the perimeter of the equilateral traingle is

$perimeter = side + side + side$

$perimeter = (8 + 8 + 8)cm$

perimeter of the equilateral traingle is

$\green{24cm}$