Question

Perimeter of an equilateral triangle is 18 cm. find its area.

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Answer 1

Step-by-step explanation:

Given:-

Perimeter of a equilateral triangle =18cm

To find:-

Area of the triangle

Solution:-

Let the sides of triangle =a

As we know that

in a equilateral triangle are equal

So

${\boxed{Perimeter=3a}}$

• Substitute the values

${:}\longrightarrow$$3a=18$

${:}\longrightarrow$$a={\dfrac {18}{3}}$

${:}\longrightarrow$${\boxed{a=6cm}}$

Now,

as we know that in a equilateral triangle

${\boxed{Area={\dfrac {{\sqrt {3}}}{2}}a {}^{2}}}$

• Substitute the values

${:}\longrightarrow$$Area={\dfrac {{\sqrt {3}}}{2}}×{6}^{2}$

${:}\longrightarrow$$Area={\dfrac {{\sqrt {3}}}{{\cancel{2}}}}×{\cancel {36}}$

${:}\longrightarrow$$Area={\sqrt {3}}×18$

$\therefore$${\underline{\boxed{\bf {Area=18 {\sqrt {3}}cm {}^{2}}}}}$

Answer 2

Answer:

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