1. Mrs. McConaughyGeometry1 Pythagorean Triples Objective: To determine missing measures by finding and using Pythagorean Triples

2. Mrs. McConaughyGeometry2 Pythagorean Triples These are simply numbers which fit the rule: ________________________ a 2 + b 2 = c 2

3. Mrs. McConaughyGeometry3 Pythagorean Primitives The lengths of the sides of the four triangles shown below are examples of Pythagorean Triples which are called,__________. These three numbers have _________________________. primitives no common integer factors. 3-4-5 8-15-17 5-12-13 7-24-25 Know by ♥ !

4. Mrs. McConaughyGeometry4 L k for one of the Pythagorean primitives to save yourself a lot of work in solving the following problems! 1. a = _____ 2. Area = __________ 3. Perimeter = ? 3-4-5 8-15-17 5-12-13 7-24-25 Know by ♥ !

5. Mrs. McConaughyGeometry5 Multiples Complete the table below: PrimitivesDoublesTriples4 times10 times __ __ __ 8 __ __ 7 24 __ 3 4 5 6-8-10 9-12-15 12-16-20 30-40-50 5 12 13 10-24-26 15-36-39 20-48-53 50-120-130 15 17 16-30-34 24-45-51 32-60-68 80-150-170 25 14-48-50 ? ? ?

6. Mrs. McConaughyGeometry6 Application: Multiples Recognize multiples of Pythagorean Triples to speed up the process of finding missing measurements. All units are in centimeters. d = 15 e = 8 f = 25 NOTE: You will need the lengths of two sides to begin!

7. Mrs. McConaughyGeometry7 Final Checks for Understanding 1.Define Pythagorean triples, then name the primitives. 2.Explain how using the primitives and their multiples can speed up the process of determining missing measures in right triangles.

8. Mrs. McConaughyGeometry8 Final Checks…. 3.Use your Pythagorean primitives (or their multiples) to determine missing measures in the right triangles below: 24 cm A = _____ 7cm 9cm 15 cm _____ Find the perimeter. _____ ___

9. Mrs. McConaughyGeometry9 Homework Assignment: Primitives and their Multiples WS plus textbook problems: _______________