Question

Find the side of an equilateral triangle whose perimeter is equal to the
perimeter of a square of side 9 cm.​

Answer 1

Question:-

Find the side of an equilateral triangle whose perimeter is equal to the perimeter of a square of side 9 cm.

Answer:-

• The side of equilateral triangle is 12 cm

To find:-

• Side of equilateral triangle

Solution:-

• Side of square = 9 cm

Perimeter of square,

$\large{ \boxed{ \mathfrak{perimeter = 4 \times side}}}$

According to question,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: perimeter = 4 \times 9}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: perimeter = 36}$

• The perimeter is 36 cm

• Perimeter of square = perimeter of equilateral triangle

We have to find the side of equilateral triangle.

$\large{ \boxed{ \mathfrak{perimeter = 3 \times side}}}$

According to question,

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: 3 \times side = 36}$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: side = \frac{36}{3} }$

$\large{ \rm : \implies \: \: \: \: \: \: \: \: \: \: side = 12}$

Hence,

The side of equilateral triangle is 12 cm.

Answer 2

Given :-

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

To find :-

• The side of equilateral triangle.

Solution :-

According to the question,

The perimeter of equilateral triangle = The perimeter of square.

The perimeter of equilateral triangle = 3a

The perimeter of square = 4a

The side of square = 9 cm.

➝ 4 a

➝ 4 × 9

➝ 36 cm

The perimeter of equilateral triangle = 3a

➝ 3a = 36

➝ a = 36/ 3

➝ a = 12 cm.

Hence, The side of equilateral triangle is 12 cm.

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