SAT Math / Geometry

Special Right Triangles

Part of the full libraryOpens January 2, 2027 · $97 for a year
What’s included
Pythagorean theoremThe rule that in a right triangle, the squares of the two shorter sides add up to the square of the longest side: a² + b² = c².

You’ll leave with these skills

  1. Find every side of a 30-60-90 triangle from its short legFind the short leg across from the 30-degree angle, then multiply it by the square root of 3 for the long leg and by 2 for the hypotenuse.
  2. Find the hypotenuse of a 45-45-90 triangle from one legMultiply one leg by the square root of 2 to get the hypotenuse.
  3. Give an exact square root or a decimal to match the answer choicesKeep the square root in your answer when the choices show square roots, and type it into Desmos only when the choices are decimals.

This lesson is part of the full library

207 lessons that teach every skill the SAT tests
  • 71Math
  • 40Reading
  • 24Grammar
  • 10 full-length practice tests to build test-day stamina and confidence
  • A Desmos simulator to solve math questions faster
  • A step-by-step guide to every practice test question
  • The Bluebook Simulator, so test day feels familiar
  • A drawing for every key term, so new ideas make sense at a glance

Explore the full library