Question

The side of an equilateral triangle is 1/2 cm. The perimeter of the triangle is
1 cm
2 cm
3/2
None of these

​

Answer 1

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The side of an equilateral triangle is $\frac{1}{2}$ cm. The perimeter of the triangle is

• $1$cm

• $2$cm

• $\frac{3}{2}$cm

• None of these

${\large{\fcolorbox{aqua}{navy}{\fcolorbox{yellow}{blue}{\bf{\color{yellow}{⫷Given⫸}}}}}}$

The side of an equilateral triangle is $\frac{1}{2}$ cm.

${\large{\fcolorbox{aqua}{navy}{\fcolorbox{yellow}{blue}{\bf{\color{yellow}{⫷To\:find⫸}}}}}}$

The perimeter of the triangle.

${\large{\fcolorbox{aqua}{navy}{\fcolorbox{yellow}{blue}{\bf{\color{yellow}{⫷Solution⫸}}}}}}$

The side of an equilateral triangle is $\frac{1}{2}$ cm.

We know that:

${\pink{All\: the \:sides \:of \:a\: equilateral\: triangle}}\\{\pink{are \:equal.}}$

$\orange{\boxed{\blue{Perimeter= S+S+S=3S}}}$

So, perimeter of the triangle

= $({\frac{1}{2}}+{\frac{1}{2}}+{\frac{1}{2}})$cm

= $({\frac{1+1+1}{2}})$cm

= ${\frac{3}{2}}$cm

= $1{\frac{1}{2}}$cm

${\large{\fcolorbox{aqua}{navy}{\fcolorbox{yellow}{blue}{\bf{\color{yellow}{⫷Hence⫸}}}}}}$

Perimeter = $1{\frac{1}{2}}$cm

${\large{\fcolorbox{aqua}{navy}{\fcolorbox{yellow}{blue}{\bf{\color{yellow}{⫷Therefore⫸}}}}}}$

The perimeter of the triangle is ${\frac{3}{2}}$cm or $1{\frac{1}{2}}$cm.

So, correct option ⇒ $\frac{3}{2}$cm

${\large{\fcolorbox{aqua}{navy}{\fcolorbox{yellow}{blue}{\bf{\color{yellow}{⫷Done⫸}}}}}}$

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