Year 11 Exam  >  Year 11 Notes  >  Mathematics for GCSE/IGCSE  >  Area of a Triangle

Area of a Triangle | Mathematics for GCSE/IGCSE - Year 11 PDF Download

How do I find the area of a non-right triangle?

  • The area of any triangle can be determined using the formula:
    Area of a Triangle | Mathematics for GCSE/IGCSE - Year 11
    • Where C is the angle between sides a and b
  • Be careful to label your triangle correctly so that C is always the angle between the two sides
  • Sin 90° = 1 so if C = 90° this becomes Area = ½ × base × height

Solved Example

Example: The following diagram shows triangle Area of a Triangle | Mathematics for GCSE/IGCSE - Year 11
Area of a Triangle | Mathematics for GCSE/IGCSE - Year 11Calculate the area of triangle.
Ans: 
Label the sides of the triangle:
Area of a Triangle | Mathematics for GCSE/IGCSE - Year 11Area of a Triangle | Mathematics for GCSE/IGCSE - Year 11

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FAQs on Area of a Triangle - Mathematics for GCSE/IGCSE - Year 11

1. How do you calculate the area of a triangle?
Ans. The area of a triangle can be calculated using the formula: Area = 1/2 x base x height.
2. What are the units for the area of a triangle?
Ans. The units for the area of a triangle are typically squared units, such as square centimeters (cm²) or square meters (m²).
3. Can the area of a triangle be negative?
Ans. No, the area of a triangle cannot be negative as it represents a physical quantity (area) which cannot have a negative value.
4. How do you find the height of a triangle if only the base and area are given?
Ans. If the base and area of a triangle are given, you can find the height by rearranging the formula for the area of a triangle: height = 2 x (Area / base).
5. Is the formula for calculating the area of a triangle the same for all types of triangles?
Ans. Yes, the formula for calculating the area of a triangle (1/2 x base x height) is the same for all types of triangles, regardless of their shape or size.
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