AQA · Mathematics · 8300
GCSE Maths: Area: triangle
Geometry & Measures · AQA GCSE Maths (8300). Cards are generated from the Corbettmaths textbook exercise and practice questions for Area: triangle (Corbettmaths Video 49), and every card links back to the exact page it came from. Practice tests are drawn from this deck’s own cards. Source material © Corbettmaths — used with attribution.
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The formula for the area of a triangle is ?.
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½ × base × height
What is the area of a triangle with base 12 cm and perpendicular height 9 cm?
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54 cm². Using the formula: Area = ½ × 12 × 9 = 54.
What is the area of a triangle with base 9 cm and perpendicular height 14 cm?
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63 cm². Using the formula: Area = ½ × 9 × 14 = 63.
What is the area of a triangle with base 19 cm and perpendicular height 7 cm?
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66.5 cm². Using the formula: Area = ½ × 19 × 7 = 66.5.
If a triangle has area 20 cm² and base 10 cm, how do you find the perpendicular height?
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Rearrange the area formula: height = (2 × Area) ÷ base = (2 × 20) ÷ 10 = 4 cm.
Why is Jayden incorrect when he calculates the area of a triangle as 7 × 4 = 28 cm²?
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He forgot to multiply by ½. The correct area formula is ½ × base × height, not just base × height.
If a right-angled triangle has area 21 cm² and height 6 cm, what is the base length?
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7 cm. Rearranging: base = (2 × Area) ÷ height = (2 × 21) ÷ 6 = 7.
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