Perimeter of an equilateral triangle is 18 cm. find its area.❌DON'T

1.	Perimeter of an equilateral triangle is 18 cm. find its area.❌DON'T SPAM❌OTHERWISE YOUR RESULT ❌IRRELEVANT ANSWER = 15 ANSWERS REPORTED ❌
Answer» 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 ${:}\longrightarrow$ $Area={\dfrac {{\sqrt {3}}}{2}}×{6}^{2}$ ${:}\longrightarrow$ $Area={\dfrac {{\sqrt {3}}}{{\cancel{2}}}}×{\cancel {36}}$ ${:}\longrightarrow$ $Area={\sqrt {3}}×18$ $\therefore$ ${\underline{\boxed{\bf {Area=18 {\sqrt {3}}cm {}^{2}}}}}$