Unit 7 · Right Triangles and Trigonometry

7.8Solving Right Triangles

Quick Answer

Solving a right triangle means finding all missing sides and angles. Use trig ratios for sides, inverse trig (sin⁻¹, cos⁻¹, tan⁻¹) for angles, and the Pythagorean Theorem as needed.

Essential Question

What information do you need to uniquely determine all sides and angles of a right triangle, and which tools do you use for each missing piece?

Learning Goals

  • 1Use inverse trig functions to find missing angles.
  • 2Solve a right triangle given two sides.
  • 3Solve a right triangle given one side and one acute angle.
  • 4Check answers using the angle sum and Pythagorean Theorem.

Key Vocabulary

Inverse trig functions

sin⁻¹, cos⁻¹, tan⁻¹; used to find an angle when a ratio is known.

Solving a triangle

Finding all unknown sides and angles of a triangle.

Full lesson content coming soon

Worked examples, guided practice problems, a workbook, quiz, and downloadable PDF resources will be added to this lesson in Phase 2. The learning goals and vocabulary above reflect the complete lesson scope.