Find the area of a triangle with sides 6cm and 8cm and an included angle of 45°.
Solution
Area = (1/2) × 6 × 8 × sin 45°
Area = 24 × (√2/2) = 12√2
Area = 16.97 cm² (2 d.p.)
This study notes covers Worked Example within Area of Triangle (Trig) for GCSE Mathematics. Revise Area of Triangle (Trig) in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 2 flashcards. Use this page as part of a wider topic revision path rather than treating it as an isolated fact. It is section 3 of 4 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Practice questions for Area of Triangle (Trig)
What is the trigonometric formula for the area of a triangle with sides a and b and included angle C?
Starting from Area = ½ × base × height, show how to derive the formula Area = ½ab sinC.