Question

solve this you become genius

Answer 1

$\bold{\boxed{HEY!!!}}$

Here is your answer :-

Perimeter of equilateral triangle is " 180 cm "

We know that

Perimeter of equilateral triangle= 3 × side

180 = 3 × side

side = 180/3

$\bold{\boxed{side = 60 cm}}$

We know that all sides are equal .

So

here a = b = c = 60cm

$s = \frac{a + b + c}{2} \\ \\ = \frac{60 + 60 + 60}{2} \\ \\ = \frac{180}{2} \\ \\ = 90$

$\bold{\boxed{s = 90} }$

By Heron's formula

$area = \sqrt{s(s - a)(s - b)(s - c} \\ \\ = \sqrt{90(90 - 60)(90 - 60)(90 - 60)} \\ \\ = \sqrt{90 \times 30 \times 30 \times 30} \\ \\ = \sqrt{3 \times30 \times 30 \times 30 \times 30 } \\ \\ = 900 \sqrt{3}$
$\bold{\boxed{area = 900√3 cm²}}$

$<marquee>THANKS...$

Answer 2

Let A , B and C are the three sides of equilateral triangle.

Perimeter of equilateral triangle = 180 cm

3 × Side = 180

Side = 180/3

Side = 60 cm.

Side A = Side B = Side C = 60 cm.

Semi perimeter ( S ) = A+B+C/2 = 60+60+60/2 = 180/2 = 90 cm.

Therefore,

S - A = 90-60 = 30 cm.

S - B = 90 - 60 = 30 cm

S - C = 90-60 = 30 cm.

Area of equilateral triangle = √S( S - A )(S - B ) ( S - C ).

=> √90 • 30 • 30 • 30

=> 900√3 cm².