Question

Find the side of an equilateral triangle whose perimeter is equal to the perimeter of a square of side 9 cm . Give brief step by step answer in paper and show i will give brainliest...........

Answer 1

Hi there!

Your Answer :- 12 cm.

Let the side be x ...... -(1)

Perimeter of Equilateral Triangle :-

x + x + x = 3x.

Perimeter of Square = Perimeter of Triangle.

Perimeter of Square = 4 × Side.

Side of Square = 9.

Perimeter =

》 $\sf\red{4 \times 9 = 36cm}$

As per Equation,

》 $\sf\blue{3x = 36cm}$

Divide 36 by 3.

》 $\sf\green{ x = \frac{36}{3}}$

》 $\sf\underline\pink{x = 12cm}$

So, the side is 12 cm -- From (1).

Thanks !

Answer 2

$\large\bf\underline {To \: find:-}$

• Side of equilateral triangle .

$\large\bf\underline{Given:-}$

• Perimeter of equilateral triangle is equal to the perimeter of square whose side is 9cm.

$\huge\bf\underline{Solution:-}$

$\underline{ \boxed {\red{\bf \: Perimeter \: of \: square = 4 \times side}}}$

$\rm perimeter \: of \: square = 4 \times 9 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \rm = 36cm$

❥ It is given that perimeter of square is equal to the perimeter of equilateral triangle.

So,

Perimeter of equilateral triangle = 36cm

Now,

we know that,

$\underline{ \boxed {\red{\bf \: Perimeter \: of \: equilateral \triangle = 3 \times side}}}$

$\: \: \: \: \: \: \rm \: \: \: \: \: \: \dashrightarrow36 = 3 \times side \\ \\ \: \: \: \: \: \: \: \: \rm \:\:\:\:\dashrightarrow \cancel\dfrac{36}{3} = side \\ \\ \: \: \: \: \: \: \: \: \rm \: \: \: \: \: \: \: \: \blue{ \boxed{ \bf \: side = 12cm}}$

hence,

❥Side of equilateral triangle is 12cm

$\rule{200}3$