Area of Right Triangle Worksheets - Free Printable

Explanation:
We need to find the area of each triangle using the formula:
Area = ½ × base × height,
where *height* must be the perpendicular height (the vertical distance from the base to the opposite vertex).

Let’s go one by one:

1) Base = 8 cm, Height = 4 cm
Area = ½ × 8 × 4 = 4 × 4 = 16 cm²

2) Base = 10 mm, Height = 7 mm
Area = ½ × 10 × 7 = 5 × 7 = 35 mm²

3) Base = 12 mm, Height = 4 mm
Area = ½ × 12 × 4 = 6 × 4 = 24 mm²

4) Base = 16 m, Height = 3 m
Area = ½ × 16 × 3 = 8 × 3 = 24 m²

5) This triangle is slanted, but the height is shown as 4 cm (vertical arrow), and the base is 9 cm (horizontal side). Since the height is perpendicular to the base (as indicated by the right-angle-like orientation of the height line), we can use them directly:
Area = ½ × 9 × 4 = 4.5 × 4 = 18 cm²

6) Base = 5 cm, Height = 3 cm (vertical arrow shows perpendicular height)
Area = ½ × 5 × 3 = 2.5 × 3 = 7.5 cm²

Double-check units: all match — cm², mm², m² — correct.

Final Answer:
1) 16
2) 35
3) 24
4) 24
5) 18
6) 7.5