Question : The height of an equilateral triangle is $9 \sqrt{3} \mathrm{~cm}$. What is the area of this equilateral triangle?

Option 1:  $92 \sqrt{3} \mathrm{~cm}^2$

Option 2: $67 \sqrt{3} \mathrm{~cm}^2$

Option 3: $49 \sqrt{3} \mathrm{~cm}^2$

Option 4: $81 \sqrt{3} \mathrm{~cm}^2$

Question : Find the area of an equilateral triangle whose sides are 16 cm.

Option 1: $60\sqrt{3}\mathrm{~cm}^2$

Option 2: $62\sqrt{3} \mathrm{~cm}^2$

Option 3: $64\sqrt{3} \mathrm{~cm}^2$

Option 4: $66\sqrt{3} \mathrm{~cm}^2$

Question : The perimeter of an equilateral triangle is 48 cm. Find its area (in cm²).

Option 1: $81\sqrt{3}$

Option 2: $8\sqrt{3}$

Option 3: $25\sqrt{3}$

Option 4: $64\sqrt{3}$

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 : The centroid of an equilateral triangle PQR is L. If PQ = 6 cm, the length of PL is :

Option 1: $4 \sqrt{3} \mathrm{~cm}$

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

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

Option 4: $5\sqrt{3} \mathrm{~cm}$