Let's solve each triangle's area step by step using the formula:
>
Area of a triangle = ½ × base × height
We’ll go through each problem one at a time.
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Problem 1
- Base (b) = 12 cm
- Height (h) = 8 cm
Area = ½ × 12 × 8
= 6 × 8
=
48 cm²
✔ Answer: 48 cm²
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Problem 2
- Base (b) = 9 m
- Height (h) = 14 m
Area = ½ × 9 × 14
= 4.5 × 14
=
63 m²
✔ Answer: 63 m²
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Problem 3
- Base (b) = 8 ft
- Height (h) = 8 ft
Area = ½ × 8 × 8
= 4 × 8
=
32 ft²
✔ Answer: 32 ft²
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Problem 4
- Base (b) = 12 yards
- Height (h) = 16 yards
Area = ½ × 12 × 16
= 6 × 16
=
96 square yards
✔ Answer: 96 yd²
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✔ Final Answers:
1.
48 cm²
2.
63 m²
3.
32 ft²
4.
96 yd²
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🔍 Explanation Recap:
The key is identifying the
base and
height correctly. The height must be the perpendicular distance from the base to the opposite vertex. In all these triangles, the right angle or perpendicular line is clearly marked, so we can use the given dimensions directly.
Always remember:
>
Area = ½ × base × height
And make sure your units are consistent!
Parent Tip: Review the logic above to help your child master the concept of area of triangles worksheet.
