Question

the area of an equilateral triangle is 4 root 3 cm square the length of each side of a triangle is

Answer 1

Hi...☺

Here is your answer...✌

GIVEN THAT,

Area of Equilateral traingle = 4√3 cm²

$\frac{ \sqrt{3} }{4} \times (side) {}^{2} = 4 \sqrt{3 } \\ \\ {(side)}^{2} = 4 \sqrt{ 3} \times \frac{4}{ \sqrt{ 3 } } \\ \\ {(side)}^{2} = 4 \times 4 \\ \\ (side) {}^{2} = (4)^2 \\ \\ = > side = 4 \: cm$

HENCE,

Length of side of given equilateral triangle is 4 cm

Answer 2

Hii friend,

Let the Length of side of equilateral triangle = a (cm)

Area of equilateral triangle = ✓3/4 × (a)²

4✓3 = ✓3/4 × a²

a² = 4✓3 × 4 / ✓3

a² = 4 × 4

a² = 16

a = ✓16 = 4 cm


Hence,

The Length of side of an equilateral triangle = a = 4 cm


HOPE IT WILL HELP YOU..... :-)