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.