To solve the problem of finding the area of each triangle in the given image, we will use the formula for the area of a triangle:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Step-by-Step Solution:
####
Triangle 1:
- Base = 6 units
- Height = 4 units
\[
\text{Area} = \frac{1}{2} \times 6 \times 4 = \frac{1}{2} \times 24 = 12 \text{ square units}
\]
####
Triangle 2:
- Base = 5 units
- Height = 3 units
\[
\text{Area} = \frac{1}{2} \times 5 \times 3 = \frac{1}{2} \times 15 = 7.5 \text{ square units}
\]
####
Triangle 3:
- Base = 8 units
- Height = 5 units
\[
\text{Area} = \frac{1}{2} \times 8 \times 5 = \frac{1}{2} \times 40 = 20 \text{ square units}
\]
####
Triangle 4:
- Base = 7 units
- Height = 6 units
\[
\text{Area} = \frac{1}{2} \times 7 \times 6 = \frac{1}{2} \times 42 = 21 \text{ square units}
\]
####
Triangle 5:
- Base = 9 units
- Height = 4 units
\[
\text{Area} = \frac{1}{2} \times 9 \times 4 = \frac{1}{2} \times 36 = 18 \text{ square units}
\]
####
Triangle 6:
- Base = 10 units
- Height = 3 units
\[
\text{Area} = \frac{1}{2} \times 10 \times 3 = \frac{1}{2} \times 30 = 15 \text{ square units}
\]
####
Triangle 7:
- Base = 12 units
- Height = 5 units
\[
\text{Area} = \frac{1}{2} \times 12 \times 5 = \frac{1}{2} \times 60 = 30 \text{ square units}
\]
####
Triangle 8:
- Base = 11 units
- Height = 4 units
\[
\text{Area} = \frac{1}{2} \times 11 \times 4 = \frac{1}{2} \times 44 = 22 \text{ square units}
\]
####
Triangle 9:
- Base = 14 units
- Height = 6 units
\[
\text{Area} = \frac{1}{2} \times 14 \times 6 = \frac{1}{2} \times 84 = 42 \text{ square units}
\]
####
Triangle 10:
- Base = 15 units
- Height = 8 units
\[
\text{Area} = \frac{1}{2} \times 15 \times 8 = \frac{1}{2} \times 120 = 60 \text{ square units}
\]
Final Answer:
\[
\boxed{12, 7.5, 20, 21, 18, 15, 30, 22, 42, 60}
\]
Parent Tip: Review the logic above to help your child master the concept of area of a triangle worksheet 5th grade.