Area of Right Triangle Worksheets - Free Printable

Absolutely! Let's solve each triangle area problem step by step using the formula provided:

> Handy hint: The formula for the area of a triangle is
> ½ × base × (perpendicular) height

We’ll apply this to each triangle. Remember, “base” and “height” must be perpendicular to each other — that’s why the height is often shown as a dotted or solid line drawn from a vertex straight down to the base (or its extension).

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Problem 1

- Base = 8 cm
- Height = 4 cm

Area = ½ × 8 × 4 = 4 × 4 = 16 cm²

✔ Answer: 16 cm²

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Problem 2

- Base = 10 mm
- Height = 7 mm

Area = ½ × 10 × 7 = 5 × 7 = 35 mm²

✔ Answer: 35 mm²

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Problem 3

- Base = 12 mm
- Height = 4 mm

Area = ½ × 12 × 4 = 6 × 4 = 24 mm²

✔ Answer: 24 mm²

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Problem 4

- Base = 16 m
- Height = 3 m

Area = ½ × 16 × 3 = 8 × 3 = 24 m²

✔ Answer: 24 m²

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Problem 5

This triangle is not upright, but the base and height are still clearly labeled:
- Base = 9 cm
- Height = 4 cm (perpendicular to the base)

Area = ½ × 9 × 4 = 4.5 × 4 = 18 cm²

✔ Answer: 18 cm²

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Problem 6

Here, the base is 5 cm, and the perpendicular height is 3 cm (drawn from the top vertex down to the base).

Area = ½ × 5 × 3 = 2.5 × 3 = 7.5 cm²

✔ Answer: 7.5 cm²

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## ✔ Final Answers:

1) 16 cm²
2) 35 mm²
3) 24 mm²
4) 24 m²
5) 18 cm²
6) 7.5 cm²

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## 💡 Key Reminder:
Even if a triangle looks “tilted” or “sideways,” as long as you identify the base and the perpendicular height (the shortest distance from the base to the opposite vertex), you can always use the formula:

> Area = ½ × base × height

This works for all triangles — right, acute, obtuse — as long as height is measured perpendicularly.

Let me know if you’d like to see diagrams or further explanations!