Grade 10 MATH Term 1 Week 2: Solving Oblique Triangle - Laws of Cosines (Cosine Law) | MATATAG - Q1

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Summary

This tutorial explains how to solve oblique triangles using the Law of Cosines, specifically covering the Side-Angle-Side (SAS) and Side-Side-Side (SSS) cases.

Highlights

Example 2: Side-Side-Side (SSS) Case00:19:01

Step-by-step walk-through of solving an oblique triangle with the SSS configuration (given side A=8, side B=11, and side C=14). The process focuses on using the angle form of the Law of Cosines to solve for the missing interior angles.

Practice Exercises and Conclusion00:25:13

The video provides practice problems for students to solve independently. It concludes with a summary emphasizing that the Law of Cosines is the primary tool for SAS and SSS cases in oblique triangle trigonometry.

Introduction and Review00:00:09

Teacher Van introduces the lesson on the Law of Cosines for solving oblique triangles. The section includes a review of oblique triangles (acute and obtuse) and the Law of Sines, categorizing which triangle types are solvable by Sines versus those requiring the Law of Cosines.

Understanding the Law of Cosines Formulas00:04:56

Detailed explanation of the Law of Cosines formulas. The presentation covers the formulas used to find an unknown side given two sides and an included angle, as well as the inverse formulas used to calculate an unknown angle when all three sides are known.

Example 1: Side-Angle-Side (SAS) Case00:07:50

Step-by-step walk-through of solving an oblique triangle with the SAS configuration (given side B=7, side C=10, and angle A=60°). The process demonstrates calculating the third side, then finding the remaining angles using the law and the triangle angle sum property.

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