# 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?**