To solve the problem of finding the area of each triangle, we will use the formula for the area of a triangle:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
We will go through each triangle step by step.
---
Triangle 1:
- Base = 8 in
- Height = 8 in
\[
\text{Area} = \frac{1}{2} \times 8 \times 8 = \frac{1}{2} \times 64 = 32 \text{ square inches}
\]
Answer: \( 32 \text{ in}^2 \)
---
Triangle 2:
- Base = 5 m
- Height = 4 m
\[
\text{Area} = \frac{1}{2} \times 5 \times 4 = \frac{1}{2} \times 20 = 10 \text{ square meters}
\]
Answer: \( 10 \text{ m}^2 \)
---
Triangle 3:
- Base = 17 mm
- Height = 5 mm
\[
\text{Area} = \frac{1}{2} \times 17 \times 5 = \frac{1}{2} \times 85 = 42.5 \text{ square millimeters}
\]
Answer: \( 42.5 \text{ mm}^2 \)
---
Triangle 4:
- Base = 10 cm
- Height = 9 cm
\[
\text{Area} = \frac{1}{2} \times 10 \times 9 = \frac{1}{2} \times 90 = 45 \text{ square centimeters}
\]
Answer: \( 45 \text{ cm}^2 \)
---
Triangle 5:
- Base = 13 ft
- Height = 12 ft
\[
\text{Area} = \frac{1}{2} \times 13 \times 12 = \frac{1}{2} \times 156 = 78 \text{ square feet}
\]
Answer: \( 78 \text{ ft}^2 \)
---
Triangle 6:
- Base = 7 yd
- Height = 7 yd
\[
\text{Area} = \frac{1}{2} \times 7 \times 7 = \frac{1}{2} \times 49 = 24.5 \text{ square yards}
\]
Answer: \( 24.5 \text{ yd}^2 \)
---
Triangle 7:
- Base = 7 yd
- Height = 4 yd
\[
\text{Area} = \frac{1}{2} \times 7 \times 4 = \frac{1}{2} \times 28 = 14 \text{ square yards}
\]
Answer: \( 14 \text{ yd}^2 \)
---
Triangle 8:
- Base = 15 ft
- Height = 15 ft
\[
\text{Area} = \frac{1}{2} \times 15 \times 15 = \frac{1}{2} \times 225 = 112.5 \text{ square feet}
\]
Answer: \( 112.5 \text{ ft}^2 \)
---
Triangle 9:
- Base = 14 mm
- Height = 10 mm
\[
\text{Area} = \frac{1}{2} \times 14 \times 10 = \frac{1}{2} \times 140 = 70 \text{ square millimeters}
\]
Answer: \( 70 \text{ mm}^2 \)
---
Triangle 10:
- Base = 9 m
- Height = 9 m
\[
\text{Area} = \frac{1}{2} \times 9 \times 9 = \frac{1}{2} \times 81 = 40.5 \text{ square meters}
\]
Answer: \( 40.5 \text{ m}^2 \)
---
Final Answers:
1. \( 32 \text{ in}^2 \)
2. \( 10 \text{ m}^2 \)
3. \( 42.5 \text{ mm}^2 \)
4. \( 45 \text{ cm}^2 \)
5. \( 78 \text{ ft}^2 \)
6. \( 24.5 \text{ yd}^2 \)
7. \( 14 \text{ yd}^2 \)
8. \( 112.5 \text{ ft}^2 \)
9. \( 70 \text{ mm}^2 \)
10. \( 40.5 \text{ m}^2 \)
\boxed{32 \text{ in}^2, 10 \text{ m}^2, 42.5 \text{ mm}^2, 45 \text{ cm}^2, 78 \text{ ft}^2, 24.5 \text{ yd}^2, 14 \text{ yd}^2, 112.5 \text{ ft}^2, 70 \text{ mm}^2, 40.5 \text{ m}^2}
Parent Tip: Review the logic above to help your child master the concept of area of a triangle worksheet 5th grade.
