Question : In a triangle ABC, AB = 6$\sqrt{3}$ cm,  AC = 12 cm and BC = 6 cm. Then the measure of $\angle B$ is equal to:

Option 1: 90°

Option 2: 45°

Option 3: 70°

Option 4: 60°

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 : On the ground, there is a vertical tower with a flagpole on its top. At a point 9 metres away from the foot of the tower, the angles of elevation of the top and bottom of the flagpole are 60° and 30°, respectively. The height of the flagpole is:

Option 1: $5\sqrt{3}$ metres

Option 2: $6\sqrt{3}$ metres

Option 3: $6\sqrt{2}$ metres

Option 4: $6\sqrt{5}$ metres

Question : If the sum and difference of two angles are 135° and $\frac{\pi}{12}$, respectively, then the value of the angles in degree measure is:

Option 1: 70° and 65°

Option 2: 75° and 60°

Option 3: 45° and 90°

Option 4: 80° and 55°

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