Topic 2: SOLVING RIGHT TRIANGLES, LAW OF SINES AND LAW OF COSINES
Learning Objectives from this topic:
- 2.02 - I can solve a right triangle given one acute angle and one side.
- 2.04 - I can state the Law of Sines.
- 2.08 - I can use the Law of Sines to solve a triangle when giving two sides and a non-included angle. (SSA Case III: 2 triangles possible).
- 2.11 - I can state the Law of Cosines.
- 2.12 - I can use the Law of Cosines to solve a triangle when given the length of all three sides (SSS).
- 2.15 - I can find the area of a triangle using Heron's Formula
Concept Notes:
2.02 - I can solve a right triangle given one acute angle and one side.
2.04 - I can state the Law of Sines.
2.04 - I can state the Law of Sines.
2.08 - I can use the Law of Sines to solve a triangle when giving two sides and a non-included angle. (SSA Case III: 2 triangles possible).
Ambiguous case:
2.11 - I can state the law of Cosines.
Ambiguous case:
- RegentsPrep.org Notes - Example #3 is the one you want to look at!
- RegentsPrep.org Practice - Great practice problems focusing on deciding if there are 0, 1, or 2 triangles possible!
- MathWorksheetsGO.com - Additional practice problems with worked out explantions of the ambiguous case
2.11 - I can state the law of Cosines.
2.12 - I can use the Law of Cosines to solve a triangle when given the length of all three sides (SSS).
2.15 - I can find the area of a triangle using Heron's Formula.
- Math is Fun Notes - Law of Cosine explanation, examples and practice problems.
- RegentsPrep.org - Law of Cosine examples and practice questions.
- Math Warehouse - Law of cosines and Law of Sines Notes, examples, and practice problems.
2.15 - I can find the area of a triangle using Heron's Formula.
Curriculum Resources:
Kahoot Games:
Khan Academy Practice Links:
- #1 - Unit 2 Overview
- #2 - Law of Sines Practice
- #3 - Law of Cosines Practice
Khan Academy Practice Links:
- Khan Academy - Trigonometric Functions and Side Ratios in Right Triangles
- Khan Academy - Applying Right Triangles
- Khan Academy - Trigonometry 2 (solving triangles)
- Khan Academy - Trigonometry 1.5
- Khan Academy - Trigonometry 1
- Khan Academy - Trigonometry .5
- Law of Sines
- Law of Cosines
- Law of Sines and Law of Cosines Word Problems