Area of a Triangle

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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.

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.

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