Question : What is the altitude of an equilateral triangle whose side is 15 cm?

Option 1: $15\sqrt3\text{ cm}$

Option 2: $10\sqrt 3\text{ cm}$

Option 3: $\frac{9\sqrt 3 }{2}\text{ cm}$

Option 4: $\frac{15\sqrt 3}{2}\text{ cm}$

Question : The side of an equilateral triangle is 12 cm. What is the radius of the circle circumscribing this equilateral triangle?

Option 1: $6 \sqrt{3}\ \text{cm}$

Option 2: $4\sqrt{3}\ \text{cm}$

Option 3: $9 \sqrt{3}\ \text{cm}$

Option 4: $5\sqrt{3}\ \text{cm}$

Question : The side of an equilateral triangle is 9 cm. What is the radius of the circle circumscribing this equilateral triangle?

Option 1: $2\sqrt{3}$ cm

Option 2: $5\sqrt{3}$ cm

Option 3: $4\sqrt{3}$ cm

Option 4: $3\sqrt{3}$ cm

Question : The side of an equilateral triangle is 36 cm. What is the radius of the circle circumscribing this equilateral triangle?

Option 1: $13 \sqrt{3} \mathrm{~cm}$

Option 2: $10 \sqrt{3} \mathrm{~cm}$

Option 3: $12 \sqrt{3} \mathrm{~cm}$

Option 4: $9 \sqrt{3} \mathrm{~cm}$

Question : $G$ is the centroid of the equilateral triangle $ABC$. If $AB$ is $9\text{ cm}$, then $AG$ is equal to:

Option 1: $3 \sqrt 3\text{ cm}$

Option 2: $3\text{ cm}$

Option 3: $\frac{3 \sqrt 3}{2}\text{ cm}$

Option 4: $6 \text{ cm}$

Question : G is the centroid of the equilateral triangle ABC. If AB = 10 cm, then the length of AG (in cm) is:

Option 1: $\frac{5 \sqrt3}{3}$

Option 2: $\frac{10 \sqrt3}{3}$

Option 3: $5 \sqrt3$

Option 4: $10\sqrt 3$