One method for finding Pythagorean Triples is to start with a known triple and use a scale factor to find other triples.

3:4:5 Triangle

In the applet, move points A and B to discover triangles in the ratio 3:4:5.

Fill In the table below with Pythagorean Triples with a 3:4:5 ratio.

In your notes, summarize your findings.

• What patterns do you see in some of the Pythagorean triples that you recorded?
• If you know one Pythagorean triple, how can you use a scale factor to generate additional Pythagorean triples?
• What other non-multiple Pythagorean triples are there?