Stage 25 · Trigonometry

25.7.4 Area Formulas for a Triangle

25.7 Solving Triangles: The Laws of Sines and Cosines

Point 4 of 5

25.7.4 Area Formulas for a Triangle

Core idea

With two sides and the angle between them, the area is ½·ab·sinC, where the sine turns 'how wide the angle opens' into area.

Module goal. We extend trig functions from the right triangle to any triangle, using the two great laws to convert freely between sides and angles, wrapping up this stage and handing the next, Sequences, a foundation of measurable relationships.
eastmath.com · 25.7 Solving Triangles: The Laws of Sines and Cosines · 25.7.4 Area Formulas for a Triangle