To solve the problem of finding the area of each triangle in the 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:
#### 1.
First Triangle:
- Base = 4 ft
- Height = 3 ft
\[
\text{Area} = \frac{1}{2} \times 4 \times 3 = \frac{1}{2} \times 12 = 6 \text{ square feet}
\]
#### 2.
Second Triangle:
- Base = 5 cm
- Height = 6 cm
\[
\text{Area} = \frac{1}{2} \times 5 \times 6 = \frac{1}{2} \times 30 = 15 \text{ square centimeters}
\]
#### 3.
Third Triangle:
- Base = 7 m
- Height = 2 m
\[
\text{Area} = \frac{1}{2} \times 7 \times 2 = \frac{1}{2} \times 14 = 7 \text{ square meters}
\]
#### 4.
Fourth Triangle:
- Base = 6 in
- Height = 4 in
\[
\text{Area} = \frac{1}{2} \times 6 \times 4 = \frac{1}{2} \times 24 = 12 \text{ square inches}
\]
#### 5.
Fifth Triangle:
- Base = 8 cm
- Height = 5 cm
\[
\text{Area} = \frac{1}{2} \times 8 \times 5 = \frac{1}{2} \times 40 = 20 \text{ square centimeters}
\]
#### 6.
Sixth Triangle:
- Base = 9 ft
- Height = 3 ft
\[
\text{Area} = \frac{1}{2} \times 9 \times 3 = \frac{1}{2} \times 27 = 13.5 \text{ square feet}
\]
#### 7.
Seventh Triangle:
- Base = 10 m
- Height = 4 m
\[
\text{Area} = \frac{1}{2} \times 10 \times 4 = \frac{1}{2} \times 40 = 20 \text{ square meters}
\]
#### 8.
Eighth Triangle:
- Base = 12 in
- Height = 5 in
\[
\text{Area} = \frac{1}{2} \times 12 \times 5 = \frac{1}{2} \times 60 = 30 \text{ square inches}
\]
#### 9.
Ninth Triangle:
- Base = 14 cm
- Height = 6 cm
\[
\text{Area} = \frac{1}{2} \times 14 \times 6 = \frac{1}{2} \times 84 = 42 \text{ square centimeters}
\]
#### 10.
Tenth Triangle:
- Base = 16 ft
- Height = 7 ft
\[
\text{Area} = \frac{1}{2} \times 16 \times 7 = \frac{1}{2} \times 112 = 56 \text{ square feet}
\]
Final Answer:
\[
\boxed{
\begin{array}{ll}
\text{Triangle 1:} & 6 \text{ square feet} \\
\text{Triangle 2:} & 15 \text{ square centimeters} \\
\text{Triangle 3:} & 7 \text{ square meters} \\
\text{Triangle 4:} & 12 \text{ square inches} \\
\text{Triangle 5:} & 20 \text{ square centimeters} \\
\text{Triangle 6:} & 13.5 \text{ square feet} \\
\text{Triangle 7:} & 20 \text{ square meters} \\
\text{Triangle 8:} & 30 \text{ square inches} \\
\text{Triangle 9:} & 42 \text{ square centimeters} \\
\text{Triangle 10:} & 56 \text{ square feet} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of area formulas worksheet.
