Triangle Area Sheet 3 Answers showing six triangles with their dimensions and calculated areas.

Let’s go through each triangle one by one and calculate the area using the formula:

Area of a triangle = (base × height) ÷ 2

We’ll make sure to use the correct base and height — they must be perpendicular to each other.

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Problem 1:
Base = 6 cm, Height = 5 cm
Area = (6 × 5) ÷ 2 = 30 ÷ 2 = 15 cm²

✔ Matches given answer.

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Problem 2:
The triangle is split into two parts with bases 3 mm and 7 mm. Total base = 3 + 7 = 10 mm
Height = 6 mm (perpendicular to the full base)
Area = (10 × 6) ÷ 2 = 60 ÷ 2 = 30 mm²

✔ Matches given answer.

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Problem 3:
This is a right triangle. Base = 8 cm, Height = 6 cm (the two legs are perpendicular)
Area = (8 × 6) ÷ 2 = 48 ÷ 2 = 24 cm²

✔ Matches given answer.

*(Note: The 10 cm side is the hypotenuse — we don’t use it for area calculation.)*

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Problem 4:
Base = 14 m, Height = 5 m (shown as perpendicular line inside triangle)
Area = (14 × 5) ÷ 2 = 70 ÷ 2 = 35 m²

✔ Matches given answer.

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Problem 5:
Base = 9 m, Height = 10 m (height is drawn outside but still perpendicular to the base extended)
Area = (9 × 10) ÷ 2 = 90 ÷ 2 = 45 m²

✔ Matches given answer.

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Problem 6:
Right triangle again. Base = 12 km, Height = 5 km (they form the right angle)
Area = (12 × 5) ÷ 2 = 60 ÷ 2 = 30 km²

✔ Matches given answer.

*(Note: The 13 km side is the hypotenuse — not used in area calculation.)*

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All answers provided in the sheet are correct!

Final Answer: All areas are correctly calculated as shown:
1) 15 cm²
2) 30 mm²
3) 24 cm²
4) 35 m²
5) 45 m²
6) 30 km²