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Grade 12 · Special Right Triangles

Grade 12 Special Right Triangles Worksheets

Printable Grade 12 special right triangles worksheets, sized to fit one page. Download a free sample below, or pick beginner, intermediate, or advanced and generate a fresh pack with answer keys in seconds. No AI, no wrong answers.

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Free to start · answer keys included · free accounts get 14 days of Standard · no card required.

Grade 12 examples by level

  • BeginnerIn a 45°-45°-90° triangle with legs 4, the hypotenuse =Answer4√2
  • IntermediateIn a 45°-45°-90° triangle with legs 5, the hypotenuse =Answer5√2
  • AdvancedIn a 45°-45°-90° triangle with legs 10, the hypotenuse =Answer10√2

Real problems from the generator: always mathematically correct, and every pack is different.

Download a free Grade 12 special right triangles worksheet

One page, ready to print, no account needed. Pick a level:

These three sheets are fixed, so you can bookmark or share them and get the same page back. Answer keys and fresh numbers come with a free account.

Why Grade 12 special right triangles practice matters

Once you recognize a 45-45-90 or 30-60-90 triangle, the side lengths fall out of fixed ratios instead of a Pythagorean calculation, a shortcut that pays off constantly once trigonometry starts asking for exact values instead of decimals.

Grade 12 is the only grade Mathter offers special right triangles worksheets for.

Want the full method, tips, and common mistakes? Read the Special Right Triangles Worksheets guide.

Frequently asked questions

What's on a Grade 12 special right triangles worksheet?
Each pack has up to 12 questions per page with a matching answer key, tuned to Grade 12, with beginner, intermediate, and advanced options so a teacher, tutor, or parent can match the learner's level.
What are the side ratios of special right triangles?
45-45-90 is 1 : 1 : √2 (legs : hypotenuse). 30-60-90 is 1 : √3 : 2 (short leg : long leg : hypotenuse).
How do you find the hypotenuse of a 45-45-90 triangle?
Multiply a leg by √2.

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Free to start · answer keys included · free accounts get 14 days of Standard · no card required.