Question

if the perimeter of an equilataral triangle is 180cm then its area will be

Answer 1

Answer:

The answer is $900\sqrt 3 \text{ cm}^2$

Step-by-step explanation:

Let $a$ be the side length of the equilateral triangle

Given perimeter 180 cm

          $\Rightarrow 3a=180\Rightarrow a=\frac{180}{3}=60 \text{ cm}$

Thus area

             $=\dfrac{\sqrt 3}{4}a^2=\frac{\sqrt 3}{4}(60^2)=\frac{\sqrt 3}{4}(60\times 60)\\=\sqrt 3(15)(60)=900\sqrt 3 \text{ cm}^2$

Answer 2

Answer:

Hope this helps

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