To solve this worksheet, we need to find the
area of each triangle using the formula:
$$
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
$$
We identify the
base and
height for each triangle. The height is the perpendicular distance from the base to the opposite vertex (indicated by a right angle symbol or dashed line in some cases).
---
🔹 Problem 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
---
🔹 Problem 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
---
🔹 Problem 3:
- Base = 3, Height = 4
$$
\text{Area} = \frac{1}{2} \times 3 \times 4 = 1.5 \times 4 = 6 \text{ square units}
$$
✔ Answer: 6
---
🔹 Problem 4:
- Base = 8, Height = 16
$$
\text{Area} = \frac{1}{2} \times 8 \times 16 = 4 \times 16 = 64 \text{ square units}
$$
✔ Answer: 64
---
🔹 Problem 5:
- Base = 6, Height = 6 (dashed line shows perpendicular height)
$$
\text{Area} = \frac{1}{2} \times 6 \times 6 = 18 \text{ square units}
$$
✔ Answer: 18
---
🔹 Problem 6:
- Base = 6, Height = 8 (dashed line from top to base)
$$
\text{Area} = \frac{1}{2} \times 6 \times 8 = 3 \times 8 = 24 \text{ square units}
$$
✔ Answer: 24
---
🔹 Problem 7:
- Base = 5, Height = 15 (dashed perpendicular line)
$$
\text{Area} = \frac{1}{2} \times 5 \times 15 = 2.5 \times 15 = 37.5 \text{ square units}
$$
✔ Answer: 37.5
---
🔹 Problem 8:
- Base = 3, Height = 3 (dashed line from top to base)
$$
\text{Area} = \frac{1}{2} \times 3 \times 3 = 1.5 \times 3 = 4.5 \text{ square units}
$$
✔ Answer: 4.5
---
✔ Final Answers:
1.
20
2.
18
3.
6
4.
64
5.
18
6.
24
7.
37.5
8.
4.5
---
📌 Summary:
All triangles use the same area formula:
$$
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
$$
Make sure to identify the correct
base and
perpendicular height, especially when the height is shown as a dashed line.
Let me know if you'd like this formatted as a printable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of area of a triangle worksheet.
