IB Math AI SL 3.2 - Triangle Rules Notes

IB Maths AI SL 3.2 Notes – Triangle Rules

This IB Maths AI SL 3.2 resource covers the Triangle Rules and is fully aligned with the IB Applications and Interpretation SL syllabus.

Students review trigonometric ratios in right triangles using SOHCAHTOA, learning how to apply sine, cosine, and tangent to determine unknown sides and angles. The notes then extend these ideas to non-right triangles through the sine rule and cosine rule, showing when each rule should be used and how they allow students to solve triangles when standard right-triangle methods do not apply.

The resource also introduces the area formula for triangles using trigonometry, allowing students to calculate the area when two sides and the included angle are known.

Worked examples and practice problems guide students through realistic applications, such as finding the height reached by a ladder and solving triangle measurements using the sine and cosine rules.

Ideal for IB Maths AI SL teachers teaching trigonometry, triangle solving, and geometric problem-solving with sine and cosine rules.