Let's solve each triangle's area using the formula:
>
Area of a triangle = $ \frac{1}{2} \times \text{base} \times \text{height} $
We’ll go through each part step by step.
---
a.
- Base = 4 cm
- Height (h) = 6 cm
$$
\text{Area} = \frac{1}{2} \times 4 \times 6 = 2 \times 6 = 12 \text{ sq cm}
$$
✔ Already solved in the image:
12 sq cm
---
b.
- Base = 6 cm
- Height (h) = 8 cm (shown as dotted line from top vertex to base)
$$
\text{Area} = \frac{1}{2} \times 6 \times 8 = 3 \times 8 = 24 \text{ sq cm}
$$
✔ Answer: 24 sq cm
---
c.
- Base = 8 cm
- Height (h) = 9 cm (dotted line from top to base)
$$
\text{Area} = \frac{1}{2} \times 8 \times 9 = 4 \times 9 = 36 \text{ sq cm}
$$
✔ Answer: 36 sq cm
---
d.
- Base = 10 cm
- Height (h) = 6 cm (dotted line from vertex to base)
$$
\text{Area} = \frac{1}{2} \times 10 \times 6 = 5 \times 6 = 30 \text{ sq cm}
$$
✔ Answer: 30 sq cm
---
e.
- Base = 6 cm
- Height (h) = 7 cm (dotted line from top vertex to base)
$$
\text{Area} = \frac{1}{2} \times 6 \times 7 = 3 \times 7 = 21 \text{ sq cm}
$$
✔ Answer: 21 sq cm
---
f.
- Base = 6 cm
- Height (h) = 6 cm (dotted line from top vertex to base)
$$
\text{Area} = \frac{1}{2} \times 6 \times 6 = 3 \times 6 = 18 \text{ sq cm}
$$
✔ Answer: 18 sq cm
---
✔ Final Answers:
| Part | Area (sq cm) |
|------|--------------|
| a | 12 |
| b | 24 |
| c | 36 |
| d | 30 |
| e | 21 |
| f | 18 |
---
🔍 Explanation:
The key is identifying the
base and the
height correctly. The height must be
perpendicular to the base (shown as a dotted line with a right angle symbol in some cases). Once you have those two values, plug them into the formula:
> $$
> \text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
> $$
This works for all triangles — whether they are right-angled, acute, or obtuse.
Let me know if you'd like a visual explanation or printable version!
Parent Tip: Review the logic above to help your child master the concept of area triangle worksheet.
