Pythagorean theorem with 3-4-5 and 5-12-13 triangles worksheets

What is on this worksheet

Right triangles built on 3-4-5, 5-12-13 and 8-15-17 and their multiples, with a hypotenuse up to 17 and whole-number sides.

• Longest side of a triple: 17

You can change any of these settings above. Press "New problems" for a fresh set with the same settings, or pick Version A to Z to print different sheets for neighboring desks. The answer key always matches.

About pythagorean theorem worksheets

Each right triangle is drawn to scale with the right angle marked and two sides labeled. Students find the hypotenuse or a missing leg using a² + b² = c². Choose whole-number triples (3, 4, 5 and 5, 12, 13 and their multiples) or any lengths with the answer rounded to the nearest tenth, which are checked so that no rounding is a close call.

The triples version lists three numbers on each row. Students work out a² + b² and c², compare them, and circle Yes or No. Half the rows are real triples and half are near misses.

Printing

US Letter or A4, portrait: choose your paper size above. Print at 100 percent (actual size). Use "Black and white" for the copier, or "Color" for display pages and mini books.