To solve the problem of finding the area of the given triangles, we will use the formula for the area of a triangle:
\[
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
\]
Let's calculate the area for each triangle step by step.
---
Triangle a
- Base (\(b\)) = 4 cm
- Height (\(h\)) = 6 cm
\[
\text{Area} = \frac{1}{2} \times 4 \times 6 = \frac{1}{2} \times 24 = 12 \, \text{cm}^2
\]
Answer for Triangle a: \(12 \, \text{cm}^2\)
---
Triangle b
- Base (\(b\)) = 6 cm
- Height (\(h\)) = 8 cm
\[
\text{Area} = \frac{1}{2} \times 6 \times 8 = \frac{1}{2} \times 48 = 24 \, \text{cm}^2
\]
Answer for Triangle b: \(24 \, \text{cm}^2\)
---
Triangle c
- Base (\(b\)) = 8 cm
- Height (\(h\)) = 9 cm
\[
\text{Area} = \frac{1}{2} \times 8 \times 9 = \frac{1}{2} \times 72 = 36 \, \text{cm}^2
\]
Answer for Triangle c: \(36 \, \text{cm}^2\)
---
Triangle d
- Base (\(b\)) = 10 cm
- Height (\(h\)) = 6 cm
\[
\text{Area} = \frac{1}{2} \times 10 \times 6 = \frac{1}{2} \times 60 = 30 \, \text{cm}^2
\]
Answer for Triangle d: \(30 \, \text{cm}^2\)
---
Triangle e
- Base (\(b\)) = 6 cm
- Height (\(h\)) = 7 cm
\[
\text{Area} = \frac{1}{2} \times 6 \times 7 = \frac{1}{2} \times 42 = 21 \, \text{cm}^2
\]
Answer for Triangle e: \(21 \, \text{cm}^2\)
---
Triangle f
- Base (\(b\)) = 6 cm
- Height (\(h\)) = 6 cm
\[
\text{Area} = \frac{1}{2} \times 6 \times 6 = \frac{1}{2} \times 36 = 18 \, \text{cm}^2
\]
Answer for Triangle f: \(18 \, \text{cm}^2\)
---
Final Answers
\[
\boxed{12, 24, 36, 30, 21, 18}
\]
Parent Tip: Review the logic above to help your child master the concept of area of a triangle worksheet 6th grade.
