Question

The area of an equilateral triangle is 27root3 cm² find its perimeter.​

Answer 1

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The area of an equilateral triangle is 27root3 cm² find its perimeter.

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We know that ,

▶️ Area of equilateral triangle = ${ \frac{</u></strong><strong><u>root</u></strong><strong><u>3</u></strong><strong><u>}{</u></strong><strong><u>4</u></strong><strong><u>} }$a²

So , according to the question ,

▶️Area of equilateral triangle = 27√3 cm²

▶️${ \frac{</u></strong><strong><u>root</u></strong><strong><u>3</u></strong><strong><u>}{</u></strong><strong><u>4</u></strong><strong><u>} }$a² = 27√3 cm²

▶️${ \frac{</u></strong><strong><u>root</u></strong><strong><u>3</u></strong><strong><u>}{</u></strong><strong><u>4</u></strong><strong><u>×</u></strong><strong><u>2</u></strong><strong><u>7</u></strong><strong><u>r</u></strong><strong><u>o</u></strong><strong><u>o</u></strong><strong><u>t</u></strong><strong><u> </u></strong><strong><u>3</u></strong><strong><u>} }$ = a²

▶️ a= 6√3

Now , perimeter of triangle = 3a

▶️ 3a = 3(6√3)

▶️18√3cm

$\rule{300}{1.5}$

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Answer 2

Answer:

Area of equilateral triangle = 27√3 cm²a² = 27√3 cm²

a= 6√3

Now , perimeter of triangle = 3a

▶️ 3a = 3(6√3)

▶️18√3cm