Question : The inradius of an equilateral triangle is $\sqrt3$ cm, then the perimeter of that triangle is:

Option 1: 18 cm

Option 2: 15 cm

Option 3: 12 cm

Option 4: 6 cm

Question : The median of an equilateral triangle is $6\sqrt3$ cm. The area (in cm²) of the triangle is:

Option 1: $72$

Option 2: $108$

Option 3: $72\sqrt3$

Option 4: $36\sqrt3$

Question : If the height of the equilateral triangle is $2 \sqrt 3\:\operatorname{cm}$, then determine the area of the equilateral triangle.

Option 1: $6\:\operatorname{cm^2}$

Option 2: $2\sqrt3\:\operatorname{cm^2}$

Option 3: $4\sqrt3\:\operatorname{cm^2}$

Option 4: $12\:\operatorname{cm^2}$

Question : The centroid of an equilateral triangle $ABC$ is $G$ and $AB = 10 \:\operatorname{ cm}$. The length of $AG$ is:

Option 1: $3\frac{1}{3} \:\operatorname{ cm}$

Option 2: $\frac{10}{\sqrt3} \:\operatorname{ cm}$

Option 3: $10\sqrt3 \:\operatorname{ cm}$

Option 4: $\frac{1}{\sqrt3} \:\operatorname{ cm}$

Question : In an equilateral triangle, the circumradius is 14 cm. What is the length of the median in this triangle?

Option 1: $14 \sqrt{3} \mathrm{~cm}$

Option 2: $21 \mathrm{~cm}$

Option 3: $18 \sqrt{3} \mathrm{~cm}$

Option 4: $7 \sqrt{3} \mathrm{~cm}$