This Problem Set is a part of the Lesson 31, Unit 4, Grade 8. Students know that a Pythagorean triple can be obtained by multiplying any known triple by a common whole number. Students use this method to generate Pythagorean triples. Students use a system of equations to find three numbers, a, b, and c. Though Pythagorean triples are not part of the standard for the grade, it is an interesting topic and should be shared with students if time permits.