To solve this problem, we need to find the
area of each triangle using the formula:
$$
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
$$
We'll go through each triangle one by one. The key is identifying the
base and the
height (the perpendicular distance from the base to the opposite vertex).
---
1)
- Base = 7 yd
- Height = 5 yd
$$
\text{Area} = \frac{1}{2} \times 7 \times 5 = \frac{35}{2} = 17.5 \text{ yd}^2
$$
✔ Answer: 17.5 yd²
---
2)
- Base = 6 ft
- Height = 9 ft
$$
\text{Area} = \frac{1}{2} \times 6 \times 9 = 3 \times 9 = 27 \text{ ft}^2
$$
✔ Answer: 27 ft²
---
3)
- This is a right triangle with legs 12 in and 15 in.
- One leg can be the base, the other the height.
- Let’s use:
- Base = 12 in
- Height = 15 in
$$
\text{Area} = \frac{1}{2} \times 12 \times 15 = 6 \times 15 = 90 \text{ in}^2
$$
✔ Answer: 90 in²
---
4)
- Right triangle
- Base = 11 ft
- Height = 16 ft
$$
\text{Area} = \frac{1}{2} \times 11 \times 16 = \frac{176}{2} = 88 \text{ ft}^2
$$
✔ Answer: 88 ft²
---
5)
- Right triangle
- Base = 10 in
- Height = 5 in
$$
\text{Area} = \frac{1}{2} \times 10 \times 5 = 5 \times 5 = 25 \text{ in}^2
$$
✔ Answer: 25 in²
---
6)
- Base = 13 yd
- Height = 7 yd (given as dotted line, perpendicular to base)
$$
\text{Area} = \frac{1}{2} \times 13 \times 7 = \frac{91}{2} = 45.5 \text{ yd}^2
$$
✔ Answer: 45.5 yd²
---
7)
- Base = 19 in
- Height = 14 in (dotted line, perpendicular to base)
$$
\text{Area} = \frac{1}{2} \times 19 \times 14 = \frac{266}{2} = 133 \text{ in}^2
$$
✔ Answer: 133 in²
---
8)
- Base = 8 yd
- Height = 4 yd (dotted line, perpendicular to base)
$$
\text{Area} = \frac{1}{2} \times 8 \times 4 = 4 \times 4 = 16 \text{ yd}^2
$$
✔ Answer: 16 yd²
---
9)
- Base = 18 ft
- Height = 5 ft (dotted line, perpendicular to base)
$$
\text{Area} = \frac{1}{2} \times 18 \times 5 = 9 \times 5 = 45 \text{ ft}^2
$$
✔ Answer: 45 ft²
---
✔ Final Answers:
1)
17.5 yd²
2)
27 ft²
3)
90 in²
4)
88 ft²
5)
25 in²
6)
45.5 yd²
7)
133 in²
8)
16 yd²
9)
45 ft²
---
Let me know if you'd like these answers formatted for printing or need help understanding any specific triangle!
Parent Tip: Review the logic above to help your child master the concept of triangle area worksheet.
