Shape
Copyright David & Cynthia Thomas, 2009
Sides, Angles, Interior Lines & Points--Directed Activity: Pythagorean Triples
Focus |
Sets of three integers satisfying the Pythagorean relationship. |
Technologies |
· Paper & pencil · Generating Pythagorean Triples http://www.mste.uiuc.edu/activity/triples/ |
Background |
A Pythagorean triple is a set of three positive integers that satisfy the Pythagorean Theorem: 3 - 4 - 5; 5 - 12 - 13; and 7 - 24 - 25, for example. |
Tasks |
· Find a third number that forms a Pythagorean triple with o 12 - 35 - ? o 33 - 56- ? o 20 - ? - 29 o ? - 99 - 101 · Find three additional Pythagorean triples. |