Question

The perimeter of an equilateral triangle is 9 m.Find length of side of the triangle

3m

6m

1m
​

Answer 1

Answer:

perimeter of equilateral triangle=3a

a=side

3a=9

a=3

thus side of triangle is 3m

Answer 2

Given :

• Perimeter of the Equilateral triangle = 9 cm

To Find :

• Side of Triangle = ?

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SolutioN : Let us Assume that the Sides of the triangle is a cm .As all the Sides of Equilateral triangle are equal . Let's Solve :

$\dag$ Calculating the Side :

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { Perimeter = a + b + c } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { 9 = a + a + a } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { 9 = 3a } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { \dfrac{9}{3} = a } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; \sf { \cancel\dfrac{9}{3} = a } \\ \\ \\ \end{gathered}$

$\begin{gathered} \qquad \; \longrightarrow \; \; {\underline{\boxed{\purple{\pmb{\sf { Side = 3 \; cm }}}}}} \; \bigstar \\ \\ \\ \end{gathered}$

$\therefore \;$ Side of the Equilateral triangle is 3 cm .

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