Question : The total surface area of a regular triangular pyramid with each edge of length 1 cm is:

Option 1: $4 \sqrt{3}$ cm²

Option 2: $\frac{4}{3} \sqrt{3}$ cm²

Option 3: $\sqrt{3}$ cm²

Option 4: $4$ cm²

Question : The area of an equilateral triangle is $4 \sqrt{3} \mathrm{~cm}^2$. Find the side (in cm) of the triangle.

Option 1: $2$

Option 2: $4$

Option 3: $\sqrt{3}$

Option 4: $2 \sqrt{3}$

Question : What is the area of a triangle having a perimeter of 32 cm, one side of 11 cm, and the difference between the other two sides is 5 cm?

Option 1: $8\sqrt{30}$ cm²

Option 2: $5\sqrt{35}$ cm²

Option 3: $6\sqrt{30}$ cm²

Option 4: $8\sqrt{2}$ cm²

Question : The area of an equilateral triangle is 173.2 cm². Its side will be __________.

Option 1: 20 cm

Option 2: 22 cm

Option 3: 17.32 cm

Option 4: 21.32 cm

Question : If each side of an equilateral triangle is 12 cm, then its altitude is equal to:

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

Option 2: $3 \sqrt{6}\ \text{cm}$

Option 3: $6 \sqrt{2}\ \text{cm}$

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