Question 1: What is the measure of each interior angle in an equilateral triangle?

Answer: 60°

Question 2: If the side length of an equilateral triangle is 6 cm, calculate its height.

Answer: 3√3 cm

Question 3: Construct an equilateral triangle with side length 8 cm on the grid. Show all steps.

Answer: Constructed triangle with all sides 8 cm, angles 60°.

Question 4: Calculate the perimeter of an equilateral triangle with side length 12 cm.

Answer: 36 cm

Question 5: A triangle has two sides measuring 9 cm each and the included angle is 60°. Is this triangle equilateral? Justify your answer.

Answer: No, because the third side length is not necessarily 9 cm; need to calculate or check.

Question 6: Calculate the length of the side of an equilateral triangle if its height is 4√3 cm.

Answer: 8 cm

Question 7: In an equilateral triangle, if one angle is increased to 65°, what are the measures of the other two angles?

Answer: Not equilateral; angles cannot all be 60°. The other two angles would be less than 60° each.

Question 8: Plot a triangle on the grid where all sides are 5 units and verify it is equilateral.

Answer: Triangle with all sides 5 units; all angles 60°.

Question 9: A regular hexagon is divided into equilateral triangles. What is the measure of each interior angle of these triangles?

Answer: 60°

Question 10: Identify and correct the mistake: 'All equilateral triangles have angles measuring 70°.'

Answer: Incorrect; all angles in an equilateral triangle are 60°, not 70°.

Question 11: Find the side length of an equilateral triangle if its area is 16√3 sq cm.

Answer: 8 cm

Question 12: For a given equilateral triangle, if the side length is doubled, what happens to its area?

Answer: The area increases by a factor of 4.