Let's solve each triangle area problem step by step using the formula for the area of a triangle:
Formula:
$$
\text{Area} = \frac{1}{2} \times \text{base} \times \text{height}
$$
We are given right triangles, so one leg is the base and the other is the height.
---
Problem 1:
- Base = 5 cm
- Height = 3 cm
$$
\text{Area} = \frac{1}{2} \times 5 \times 3 = \frac{15}{2} = 7.5 \, \text{cm}^2
$$
✔ Answer: $ \boxed{7.5} $ square cm
---
Problem 2:
- Base = 4 cm
- Height = 7 cm
$$
\text{Area} = \frac{1}{2} \times 4 \times 7 = \frac{28}{2} = 14 \, \text{cm}^2
$$
✔ Answer: $ \boxed{14} $ square cm
---
Problem 3:
- Base = 8 cm
- Height = 6 cm
$$
\text{Area} = \frac{1}{2} \times 8 \times 6 = \frac{48}{2} = 24 \, \text{cm}^2
$$
✔ Answer: $ \boxed{24} $ square cm
---
Problem 4:
- Base = 10 cm
- Height = 5 cm
$$
\text{Area} = \frac{1}{2} \times 10 \times 5 = \frac{50}{2} = 25 \, \text{cm}^2
$$
✔ Answer: $ \boxed{25} $ square cm
---
Problem 5:
- Base = 9 cm
- Height = 2 cm
$$
\text{Area} = \frac{1}{2} \times 9 \times 2 = \frac{18}{2} = 9 \, \text{cm}^2
$$
✔ Answer: $ \boxed{9} $ square cm
---
✔ Final Answers:
1.
7.5
2.
14
3.
24
4.
25
5.
9
All areas are in
square centimeters (cm²).
---
🔍 Explanation:
Since all triangles shown are
right triangles, we can use the two perpendicular sides as the
base and
height directly. The formula $ \frac{1}{2} \times \text{base} \times \text{height} $ applies perfectly here.
No need to use the Pythagorean theorem unless we were asked for the hypotenuse — but here, only area is required.
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Parent Tip: Review the logic above to help your child master the concept of 5th grade math geometry worksheet.
