Question

) The area of an equilateral triangle is
(16×√3) cm^2. Find the length of each side of
the triangle​

Answer 1

Answer:

8

Step-by-step explanation:

area of an equilateral triangle = (√3/4)a^2

=(√3/4)a^2 =16√3

a^2= 16*4=64

a^2=64

a=8

Answer 2

Required Answer:-

Given:

• The area of an equilateral triangle is 16√3 cm².

To find:

• The length of each side of the Triangle.

Solution:

We have,

➡ Area of equilateral triangle = 16√3 cm²

Area of an equilateral triangle is given by the formula,

$\boxed{ \sf\bigstar \: \: \: A = \dfrac{ \sqrt{3} }{4} {s}^{2} }$

Where,

• s is the side of the triangle.

Therefore, according to the given condition,

$\sf \implies \dfrac{ \sqrt{3} }{4} {s}^{2} = 16 \sqrt{3}$

$\sf \implies \dfrac{ {s}^{2} }{4} = 16$

$\sf \implies {s}^{2} = 16 \times 4$

$\sf \implies s= \sqrt{16 \times 4}$

$\sf \implies s= 8 \: cm$

Hence, the length of each side of the equilateral triangle is 8cm.

Answer:

• The length of each side of the equilateral triangle is 8cm.