Name:___________________________ Pythagorean Theorem Converse and Simplifying Radicals

Pythagorean Theorem Converse

1. Is this a right triangle? Explain your answer.

2. Is this a right triangle? Explain your answer.

3. Decide if the following side lengths form a right triangle.

Write ‘yes’ or ‘no’ and then state why: 12, 16, 20

4. Decide if the following side lengths form a right triangle.

Write ‘yes’ or ‘no’ and then state why: 4, 6, 8

5. Decide if the following side lengths form a right triangle.

Write ‘yes’ or ‘no’ and then state why: 8, 12, 16 6. Decide if the following side lengths form a right triangle.

Write ‘yes’ or ‘no’ and then state why: 80, 150, 170

Simplifying Radicals

7. Simplify: 20 8. Simplify: 75

9. Find x in simplified radical form:

10. Find x in simplified radical form:

HW 5.2

40

65

11016

21

28

Applying Pythagorean Theorem to Solve Word Problems

11. An Olympic swimming pool has length 50 meters and width 25 meters. What is the diagonal distance

across the pool? Please draw a diagram and show all work.

12. A square park has a diagonal walkway from one corner to another. If the walkway is 120 meters long, what

is the approximate perimeter of the park? Please draw a diagram and show all work.

13. A ladder is leaning against the side of a 10m house. If the base of the ladder is 3m away from the house, how tall is

the ladder? Please draw a diagram and show all work.