Question

The perimeter of an equilateral triangle is 1/8 unit. What is the length, in units, of each side of the triangle

Answer 1

Answer:

${\longrightarrow \pmb{\sf {\qquad \frac{1}{24} }}}$

$\:$

Step-by-step explanation:

It is given that the perimeter of an equilateral triangle is 1/8 unit and we have to find the length of each side of the triangle.

So, we know that,

$\\ {\longrightarrow \pmb{\sf {\qquad 3a = Perimeter_{(Equilateral triangle) }}}}$

Now, substituting the given values in the formula :

$\\ {\longrightarrow \pmb{\sf {\qquad 3a = \frac{1}{8} }}}$

By doing cross multiplication we get :

${\longrightarrow \pmb{\sf {\qquad 3a(8) = 1(1) }}}$

${\longrightarrow \pmb{\sf {\qquad 24a = 1 }}}$

Dividing both sides by 24 we get :

$\\ {\longrightarrow \pmb{\sf {\qquad \frac{24a}{24} = \frac{1}{24} }}}$

${\longrightarrow \pmb{\sf {\qquad a = \frac{1}{24} }}}$

Therefore,

• The length of each side of the triangle is 1/24 units