# Area of a triangle using ½ab sin C

**The area of a triangle**

The area of a triangle can be calculated by halving the length of the base multiplied by the perpendicular height. For example, what is the area of the triangle ABC?

Area of triangle ABC = ½ × base × height

Area of triangle ABC = ½ × 7 × 4 sin 47°

Area of triangle ABC = 10.2 cm² (to 1 d.p.)

Therefore the area of a triangle can also be written as:

Area of triangle ABC = ½ *ab* sin C (where* a** *and *b* are the lengths of the sides joining the angle C and C is the angle)