003 | Sine Rule | Shortest Distance | Triangle Area | Math 0580 || Torus Academia

In this lesson, we break down the Sine Rule for solving non-right-angled triangles in IGCSE/O-Level Mathematics (0580). Learn the exact rules on when to apply the Sine Rule versus the Cosine Rule, how to find missing side lengths and angles, how to determine the shortest perpendicular distance, and how to calculate quadrilateral areas using triangle formulas. TIMESTAMPS: 00:00 - Introduction: When to Apply Sine Rule vs Cosine Rule 00:58 - The Sine Rule Formula & Setup 03:04 - Example 1: Finding Missing Side AC 04:47 - Example 2: Multi-step Triangle Problem (Cosine Rule & Angle ADB) 09:06 - Calculating Shortest Perpendicular Distance 16:15 - Example 2 Part (iii): Finding Side Length BD 18:50 - Past Paper Question: Quadrilateral Setup & Missing Length QS 22:27 - Finding Side RS Using the Cosine Rule 24:56 - Shortest Distance from Point Q to Line PS 27:48 - Calculating Total Quadrilateral Park Area 31:40 - Summary & Next Steps Instructor: Raja Nadeem Amin Academy: Torus Academy Course: IGCSE / O-Level Mathematics 0580