Let's solve each triangle's area step by step using the
formula for the area of a triangle:
$$
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
$$
We will identify the base and height for each triangle (note: the height is the perpendicular distance from the base to the opposite vertex).
---
Triangle ①
- Base = 4 units
- Height = 10 units
$$
\text{Area} = \frac{1}{2} \times 4 \times 10 = 2 \times 10 = 20 \text{ square units}
$$
✔ Answer: 20 square units
---
Triangle ②
- Right triangle with legs 6 and 6
- Base = 6, Height = 6
$$
\text{Area} = \frac{1}{2} \times 6 \times 6 = 3 \times 6 = 18 \text{ square units}
$$
✔ Answer: 18 square units
---
Triangle ③
- Base = 3, Height = 4
$$
\text{Area} = \frac{1}{2} \times 3 \times 4 = 1.5 \times 4 = 6 \text{ square units}
$$
✔ Answer: 6 square units
---
Triangle ④
- Base = 8, Height = 16
$$
\text{Area} = \frac{1}{2} \times 8 \times 16 = 4 \times 16 = 64 \text{ square units}
$$
✔ Answer: 64 square units
---
Triangle ⑤
- Base = 6, Height = 6 (the vertical side is perpendicular to the base)
$$
\text{Area} = \frac{1}{2} \times 6 \times 6 = 18 \text{ square units}
$$
✔ Answer: 18 square units
---
Triangle ⑥
- Base = 6, Height = 8 (vertical dashed line shows height)
$$
\text{Area} = \frac{1}{2} \times 6 \times 8 = 3 \times 8 = 24 \text{ square units}
$$
✔ Answer: 24 square units
---
Triangle ⑦
- Base = 5, Height = 15 (dashed line is perpendicular to the base)
$$
\text{Area} = \frac{1}{2} \times 5 \times 15 = 2.5 \times 15 = 37.5 \text{ square units}
$$
✔ Answer: 37.5 square units
---
Triangle ⑧
- Base = 3, Height = 4 (height is drawn inside the triangle, perpendicular to base)
$$
\text{Area} = \frac{1}{2} \times 3 \times 4 = 1.5 \times 4 = 6 \text{ square units}
$$
✔ Answer: 6 square units
---
✔ Final Answers:
1.
20
2.
18
3.
6
4.
64
5.
18
6.
24
7.
37.5
8.
6
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Parent Tip: Review the logic above to help your child master the concept of finding area of triangle worksheet.
