Area of Triangles Worksheets - Free Printable

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

$$
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
$$

---

Part a.

- Base = 6 m
- Height = 8 m

$$
\text{Area} = \frac{1}{2} \times 6 \times 8 = 3 \times 8 = 24 \, \text{m}^2
$$

✔ Answer: 24 m²

---

Part b.

- Base = 11 mm
- Height = 8 mm

$$
\text{Area} = \frac{1}{2} \times 11 \times 8 = 5.5 \times 8 = 44 \, \text{mm}^2
$$

✔ Answer: 44 mm²

---

Part c.

- Base = 10 cm
- Height = 17 cm

$$
\text{Area} = \frac{1}{2} \times 10 \times 17 = 5 \times 17 = 85 \, \text{cm}^2
$$

✔ Answer: 85 cm²

---

Part d.

- Base = 16 km
- Height = 9 km

$$
\text{Area} = \frac{1}{2} \times 16 \times 9 = 8 \times 9 = 72 \, \text{km}^2
$$

✔ Answer: 72 km²

---

Part e.

- Base = 8 m
- Height = 14 m

$$
\text{Area} = \frac{1}{2} \times 8 \times 14 = 4 \times 14 = 56 \, \text{m}^2
$$

✔ Answer: 56 m²

---

Part f.

- This is a right triangle with both legs = 20 cm.
In a right triangle, the two legs can serve as base and height.

$$
\text{Area} = \frac{1}{2} \times 20 \times 20 = \frac{1}{2} \times 400 = 200 \, \text{cm}^2
$$

✔ Answer: 200 cm²

---

Part g.

- $ b = 14 $ meters
- $ h = 20 $ meters

$$
\text{Area} = \frac{1}{2} \times 14 \times 20 = 7 \times 20 = 140 \, \text{m}^2
$$

✔ Answer: 140 m²

---

Part h.

- $ b = 10 $ cm
- $ h = 15 $ cm

$$
\text{Area} = \frac{1}{2} \times 10 \times 15 = 5 \times 15 = 75 \, \text{cm}^2
$$

✔ Answer: 75 cm²

---

Part i.

- $ b = 7 $ km
- $ h = 22 $ km

$$
\text{Area} = \frac{1}{2} \times 7 \times 22 = 3.5 \times 22 = 77 \, \text{km}^2
$$

✔ Answer: 77 km²

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✔ Final Answers:

| Problem | Area |
|--------|------|
| a. | 24 m² |
| b. | 44 mm² |
| c. | 85 cm² |
| d. | 72 km² |
| e. | 56 m² |
| f. | 200 cm² |
| g. | 140 m² |
| h. | 75 cm² |
| i. | 77 km² |

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🔍 Summary:

Always remember:
- Use the formula: $ A = \frac{1}{2} \times b \times h $
- Make sure the height is perpendicular to the base
- Units must be consistent (e.g., cm × cm → cm²)

Let me know if you'd like this formatted for printing or need help visualizing any triangle!