LESSON5- Pythagorean Theorem


Pythagorean Theorem Proof

Exercise1

Calculate the length of unknown side ?


Exercise2

Calculate the length of  the segment  PQ ?

Exercise3

Which of the following triangles is right-angled?


Quiz

Word problems

1) Anna takes a rectangular piece of fabric and cuts from one corner to the opposite corner. If the piece of fabric is 8 inches long and 6 inches wide, how long is the diagonal cut that Anna made?

 

2) Vindale is 12 miles due north of the airport, and Stamford is due east of the airport. If the distance between Vindale and Stamford is 15 miles, how far is Stamford from the airport?

 

3)To get to her parents' house, Pamela would have to drive due north 12 km. To get to her grandparents' house, she would have to drive due east 16 km. What is the straight-line distance between the parents' and grandparents' houses?

 

4)Claudia is decorating a ballroom ceiling with garland. The width of the rectangular ceiling is 12 meters and the diagonal distance from one corner to the opposite corner is 15 meters. How much garland will Claudia need for the length of the ceiling?

Materials

LESSONS - Pythagoras' Theorem
Two worksheets for two lessons
LESSONSPythagorasTheorem.pdf
Adobe Acrobat Document 263.4 KB
TheoremProof.pdf
Adobe Acrobat Document 51.2 KB
WordProblems.pdf
Adobe Acrobat Document 41.6 KB
worksheet.pdf
Adobe Acrobat Document 42.0 KB