Answer:
[tex]Area = 15.588 \;cm^2[/tex]
Step-by-step explanation:
In the given triangle all sides are equal. This is therefore an equilateral triangle
The area of an equilateral triangle of side length a is given by the formula:
[tex]\dfrac{\sqrt{3}}{4}a^2[/tex]
We are given a = 6cm. Plugging this value into the above expression gives:
[tex]Area = \dfrac{\sqrt{3}}{4}6^2\\ = \dfrac{\sqrt{3}}{4}36\\\\= \sqrt{3} \cdot 9\\\\= 15.588 \;cm^2[/tex]
