HUNTERTUTORING
← Honors
Get startedBook tutoring

Parent Guide

Open PDF

Trigonometry · Honors Math · Applications of trigonometry

What this standard means

Your teen is working on solve oblique triangles with sas. In plain terms: Use the Law of Cosines and Law of Sines to solve oblique triangles given SAS information. This sits in the Applications of trigonometry part of Trigonometry · Honors.

How students learn it (methods)

  • Mark diagrams with tick marks and arcs for congruent parts.
  • Name the criterion used (SAS, ASA, SSS, AA similarity, etc.).
  • Write reasons in a short two-column or flow proof when asked.

At home, ask your teen to explain one method they used on homework in their own words.

Why it matters at home

  • Checking if a corner is square with the 3-4-5 idea
  • Scale drawings and map distances
  • Art or design with reflections and rotations
  • Roof pitch or ramp slope conversations

Connected standards

  • Builds on:
  • `4.2` - SSA (ambiguous case) - earlier skill this topic builds on.
  • Connects within grade:
  • `4.1` - Solve oblique triangles with AAS and ASA - related work in the same unit (Applications of trigonometry).
  • Leads to:
  • `4.4` - Solve SSS triangles - natural next step after this topic.

Try these together (this standard)

1. A right triangle has legs 6 and 8. Find the hypotenuse. 2. Two triangles share AA similarity. If corresponding sides are 4 and 10, what is the scale factor? 3. In a right triangle, opposite = 5 and adjacent = 12. Find tan of the acute angle.

Problems that show the connections

1. (Uses 4.2) Quick review of SSA (ambiguous case): write one sentence explaining the main idea, then show how today's topic (Solve oblique triangles with SAS) uses it. 2. (Uses 4.1) Compare Solve oblique triangles with SAS with Solve oblique triangles with AAS and ASA: how are they alike and how are they different?

How you can help

  • Ask "What do you already know?" before "What is the answer?"
  • Have them define any variable or unknown in a full sentence.
  • Celebrate a clear explanation even if a calculation needs fixing.
  • Watch for answers that are mathematically possible but impossible in context.
  • Keep sessions short (10-15 minutes) and end on a success.
  • If stuck, try a simpler number version of the same problem.

Answer key

1. √(36 + 64) = √100 = 10. 2. Scale factor 10/4 = 2.5 (larger to smaller depends on order stated). 3. tan = 5/12. 4. Answers vary; should correctly recall SSA (ambiguous case) and link it to Solve oblique triangles with SAS. 5. Answers vary; look for a clear similarity and a clear distinction between 4.3 and 4.1.

For your personal study only. Copying, printing, screenshotting, or sharing this material is not permitted and may result in loss of access.

Back to 4.3