To solve the problem of finding the area of the given triangles, we will use the formula for the area of a triangle:
\[
A = \frac{1}{2} \times \text{base} \times \text{height}
\]
Let's solve each triangle step by step.
---
Triangle 1:
-
Base (\( b \)): 10 cm
-
Height (\( h \)): 6 cm
Using the formula:
\[
A = \frac{1}{2} \times b \times h
\]
\[
A = \frac{1}{2} \times 10 \, \text{cm} \times 6 \, \text{cm}
\]
\[
A = \frac{1}{2} \times 60 \, \text{cm}^2
\]
\[
A = 30 \, \text{cm}^2
\]
Answer for Triangle 1:
\[
\boxed{30}
\]
---
Triangle 2:
-
Base (\( b \)): 10 m
-
Height (\( h \)): 12 m
Using the formula:
\[
A = \frac{1}{2} \times b \times h
\]
\[
A = \frac{1}{2} \times 10 \, \text{m} \times 12 \, \text{m}
\]
\[
A = \frac{1}{2} \times 120 \, \text{m}^2
\]
\[
A = 60 \, \text{m}^2
\]
Answer for Triangle 2:
\[
\boxed{60}
\]
---
Triangle 3:
-
Base (\( b \)): 10 m
-
Height (\( h \)): 6 m
Using the formula:
\[
A = \frac{1}{2} \times b \times h
\]
\[
A = \frac{1}{2} \times 10 \, \text{m} \times 6 \, \text{m}
\]
\[
A = \frac{1}{2} \times 60 \, \text{m}^2
\]
\[
A = 30 \, \text{m}^2
\]
Answer for Triangle 3:
\[
\boxed{30}
\]
---
Triangle 4:
-
Base (\( b \)): 25 cm
-
Height (\( h \)): 20 cm (given as the perpendicular height)
Using the formula:
\[
A = \frac{1}{2} \times b \times h
\]
\[
A = \frac{1}{2} \times 25 \, \text{cm} \times 20 \, \text{cm}
\]
\[
A = \frac{1}{2} \times 500 \, \text{cm}^2
\]
\[
A = 250 \, \text{cm}^2
\]
Answer for Triangle 4:
\[
\boxed{250}
\]
---
Final Answers:
1. \( \boxed{30} \) cm²
2. \( \boxed{60} \) m²
3. \( \boxed{30} \) m²
4. \( \boxed{250} \) cm²
These are the areas of the given triangles.
Parent Tip: Review the logic above to help your child master the concept of area triangle worksheet.
