Question

If the perimeter of an equilateral triangle is 180 cm. Then its area will be: a) 900 cm? 490013 cm c)30013 cm d)600V3 cm and 10m respectively and perimeter​

Answer 1

Answer:

We know

Perimeter of A Triangle= sum of all sides,that is a+b+c

Here

a+b+c=180

Given,all are equal,as it's equilateral,then a=b=c

So We can use a in place of b and c and vicer versa

a+a+a=180

3a=180

a=180÷3

a=60

Therefore each side= 60cm

Now to find area

we know

Area of an Equilateral triangle=

$\frac{ \sqrt{3} {a}^{2} }{4}$

where a=side

Here,a=60

and a²=60²=3600

therefore

$\frac{3600 \sqrt{3} }{4}$

and it can be written as

$3600 \times \frac{ \sqrt{3} }{4} \\ 900 \times \sqrt{3} \\ = 9 00\sqrt{3}$

Therefore the correct answer is 900√3cm

hope it helps