To solve the problem of finding the areas of the triangles 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:
####
1)
- The triangle is on a grid.
- Base = 6 units
- Height = 4 units
\[
\text{Area} = \frac{1}{2} \times 6 \times 4 = \frac{1}{2} \times 24 = 12 \text{ square units}
\]
####
2)
- The triangle is on a grid.
- Base = 6 units
- Height = 4 units
\[
\text{Area} = \frac{1}{2} \times 6 \times 4 = \frac{1}{2} \times 24 = 12 \text{ square units}
\]
####
3)
- The triangle is on a grid.
- Base = 6 units
- Height = 4 units
\[
\text{Area} = \frac{1}{2} \times 6 \times 4 = \frac{1}{2} \times 24 = 12 \text{ square units}
\]
####
4)
- The triangle is on a grid.
- Base = 8 units
- Height = 5 units
\[
\text{Area} = \frac{1}{2} \times 8 \times 5 = \frac{1}{2} \times 40 = 20 \text{ square units}
\]
####
5)
- The triangle is on a grid.
- Base = 6 units
- Height = 4 units
\[
\text{Area} = \frac{1}{2} \times 6 \times 4 = \frac{1}{2} \times 24 = 12 \text{ square units}
\]
####
6)
- The triangle is on a grid.
- Base = 6 units
- Height = 4 units
\[
\text{Area} = \frac{1}{2} \times 6 \times 4 = \frac{1}{2} \times 24 = 12 \text{ square units}
\]
####
7)
- The triangle has dimensions given:
- Base = 7 ft
- Height = 4.5 ft
\[
\text{Area} = \frac{1}{2} \times 7 \times 4.5 = \frac{1}{2} \times 31.5 = 15.75 \text{ square feet}
\]
####
8)
- The triangle has dimensions given:
- Base = 6 in
- Height = 5.1 in
\[
\text{Area} = \frac{1}{2} \times 6 \times 5.1 = \frac{1}{2} \times 30.6 = 15.3 \text{ square inches}
\]
####
9)
- The triangle has dimensions given:
- Base = 4 cm
- Height = 1 cm
\[
\text{Area} = \frac{1}{2} \times 4 \times 1 = \frac{1}{2} \times 4 = 2 \text{ square centimeters}
\]
Final Answers:
\[
\boxed{
\begin{array}{ccc}
1) & 12 & \text{square units} \\
2) & 12 & \text{square units} \\
3) & 12 & \text{square units} \\
4) & 20 & \text{square units} \\
5) & 12 & \text{square units} \\
6) & 12 & \text{square units} \\
7) & 15.75 & \text{square feet} \\
8) & 15.3 & \text{square inches} \\
9) & 2 & \text{square centimeters} \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of area of triangle worksheet.
