Triangles
Virginia SOL G.TR.4
Model and solve problems involving right triangle trigonometry and the Pythagorean Theorem.
What students need to be able to do
- Determine whether a triangle formed with three given lengths is a right triangle.
- Find and verify trigonometric ratios using right triangles.
- Model and solve problems, including those in context, involving right triangle trigonometry (sine, cosine, and tangent ratios).
- Solve problems using the properties of special right triangles (45°-45°-90° and 30°-60°-90°).
- Solve for missing lengths in geometric figures using properties of 45°-45°-90° and 30°-60°-90° triangles, including rationalizing denominators.
- Solve problems, including those in context, involving right triangles using the Pythagorean Theorem and its converse, including recognizing Pythagorean Triples.