Let’s solve each triangle one by one using the formula:
Area = ½ × base × height
We’ll multiply the base and height, then divide by 2.
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Problem 1:
Base = 8 cm
Height = 4 cm
Area = ½ × 8 × 4 = ½ × 32 =
16 cm²
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Problem 2:
Base = 10 mm
Height = 7 mm
Area = ½ × 10 × 7 = ½ × 70 =
35 mm²
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Problem 3:
Base = 12 mm
Height = 4 mm
Area = ½ × 12 × 4 = ½ × 48 =
24 mm²
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Problem 4:
Base = 16 m
Height = 3 m
Area = ½ × 16 × 3 = ½ × 48 =
24 m²
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Problem 5:
This is a tricky one — the height is drawn outside the triangle, but it still counts as long as it’s perpendicular to the base (or its extension).
Base = 9 cm
Height = 4 cm
Area = ½ × 9 × 4 = ½ × 36 =
18 cm²
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Problem 6:
Again, the height is shown outside, but it’s perpendicular to the base line.
Base = 5 cm
Height = 3 cm
Area = ½ × 5 × 3 = ½ × 15 =
7.5 cm²
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Final Answer:
1) 16
2) 35
3) 24
4) 24
5) 18
6) 7.5
Parent Tip: Review the logic above to help your child master the concept of area of a triangle worksheet 5th grade.