Question

An area of an equilateral triangle is 400 root3m*2what is the perimeter
​

Answer 1

Answer:

Using Rule 6, Area of equilateral triangle

=

√3

× (side)²

4

=

√3

× (side)² = 400√3

4

⇒(side)² =

400√3 × 4

√3

⇒ Side = √4 × 400 = 40 metres

∴ Perimeter = 3 × side = 3 × 40 = 120 metres

Answer 2

Explanation:

WE KNOW THAT

AREA OF EQUILATERAL TRIANGLE IS:

$\frac{ \sqrt{3} }{</u></em></strong><strong><em><u>4</u></em></strong><strong><em><u>} {a}^{2}$

where, a= side of triangle

Now,

$400 \sqrt{3} = \frac{ \sqrt{3} }{</u></em></strong><strong><em><u>4</u></em></strong><strong><em><u>} {a}^{2}$

$400 = \frac{ {a}^{2} }{</u></em></strong><strong><em><u>4</u></em></strong><strong><em><u>}$

$</u></em></strong><strong><em><u>1</u></em></strong><strong><em><u>6</u></em></strong><strong><em><u>00 = {a}^{2}$

$a = </u></em></strong><strong><em><u>4</u></em></strong><strong><em><u>0</u></em></strong><strong><em><u>m</u></em></strong><strong><em><u>$

Hence, sides of equilateral triangle is 40m

Now, perimeter of equilateral triangle is= 3a

=

$3 \times </u></em></strong><strong><em><u>4</u></em></strong><strong><em><u>0</u></em></strong><strong><em><u>$

$= </u></em></strong><strong><em><u>1</u></em></strong><strong><em><u>2</u></em></strong><strong><em><u>0</u></em></strong><strong><em><u>$

Mark me as brainliest

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