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 : An equilateral triangle has sides of 18 cm each. The ratio of the inradius to circumradius of the triangle is:

Option 1: 2 : 1

Option 2: 3 : 2

Option 3: 3 : 4

Option 4: 1 : 2

Question : In an equilateral triangle STU, inradius is $5 \sqrt{3 }\mathrm{~cm}$. What is the length of the side of this equilateral triangle?

Option 1: $20 \sqrt{3} \mathrm{~cm}$

Option 2: $18 \sqrt{3} \mathrm{~cm}$

Option 3: $30 \mathrm{~cm}$

Option 4: $24 \mathrm{~cm}$

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

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