Question 1: Calculate the area of a triangle with a base of 8 cm and a height of 5 cm.

Answer: 20

Question 2: Find the height of a triangle with a base of 10 m and an area of 35 m².

Answer: 7

Question 3: Construct a triangle with a base of 6 cm and an area of 9 cm². Draw and label the height.

Answer: Height = 3 cm

Question 4: A triangle has a base of 12 m and an unknown height. If its area is 30 m², what is the height?

Answer: 5

Question 5: Plot the graph of y = 2x on the grid, then draw a triangle with a base along the x-axis from (1,0) to (4,0) and a height of 3 units at x=2.

Answer: Area = ½ × 3 × 3 = 4.5

Question 6: A triangle has a base of 9 cm and an area of 18 cm². What is its height?

Answer: 4

Question 7: A square plot of land has a triangular section with a base of 14 m and a height of 6 m. Calculate the area of this triangular section.

Answer: 42

Question 8: Identify and correct the mistake in this student’s calculation: Area = ½ × 10 × 4 = 25 cm².

Answer: Incorrect; should be ½ × 10 × 4 = 20 cm²

Question 9: A triangle's base measures 7 meters. To find its area, a student multiplies ½ × 7 × 2.5. Is this correct? Explain your reasoning.

Answer: No, the multiplication is correct, but the height used (2.5 m) must be accurate. If the area is known, check if ½ × 7 × height matches the area.

Question 10: A triangle has a base of 15 cm and an area of 45 cm². What is its height? Show your working.

Answer: 6

Question 11: Challenge: Construct a triangle on the grid with a base of 8 units and a height of 5 units. Calculate its area and verify your construction is accurate.

Answer: Area = ½ × 8 × 5 = 20 units²