Year 11 Exam>Year 11 Notes>Area of a Triangle
IGCSE Maths: Extended CIE Revision Notes
Area of a Triangle (CIE IGCSE Maths: Extended)
Revision Note
How to Calculate the Area of a Non-right Triangle
- The area of any triangle can be determined using the formula:
- Area = 0.5 × base × height
For example, consider a triangle with a base of 6 units and a height of 4 units:
- Area = 0.5 × 6 × 4 = 12 square units
It's crucial to correctly label the triangle to identify the angle 'C' between sides 'a' and 'b'.
- Be cautious in labeling the triangle so that 'C' always represents the angle between the two sides.
- If 'C' is a right angle (90 degrees), the area formula simplifies to:
- Area = 0.5 × base × height
For instance, if 'C' is a right angle, and the base is 8 units while the height is 6 units:
- Area = 0.5 × 8 × 6 = 24 square units
Remember, in a right-angled triangle, the sine of 90 degrees equals 1, simplifying the area calculation.
Area of a Triangle
Remember to check that your calculator is in degrees mode!
The formula for the area of a triangle can be found in the list of formulas on page 2.
Understanding the Area of a Triangle
- Ensure your calculator is set to degrees mode before making calculations.
- The formula for calculating the area of a triangle is crucial and can be located in the list of formulas provided on page 2 of your resources.
The following diagram illustrates a triangle with vertices A, B, and C:
Calculate the area of the triangle using the given measurements.
Test Your Understanding
Engage with the topic by testing yourself on the concepts related to the area of a triangle.
Explore the next topic to further enhance your knowledge and skills in geometry.
Strive for better academic performance by mastering the concepts of triangle geometry.
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