Looking For Pythagoras Unit Test Review

1. The triangle below is a right triangle. Show that this triangle satisifies the Pythagorean Theorem.

• 2 + 2 = 4

• 2² + 2² = 4²

• 4² + 2² = 2²

• 3² + 3² = 9²

2. Use the Pythagorean Theorem to find the missing side measurements. Include the formula and all work. Find the exact and the approximate answer.

• Exact = sqrt. 93, Approximate = 9.64

• Exact = sqrt. 242, Approximate = 15.55

• Exact = sqrt. 169, Approximate = 13

• Exact = sqrt. 279, Approximate = 16.70

3. Use the Pythagorean Theorem to find the missing side measurements. Include the formula and all work. Find the exact and the approximate answer.

• Exact = sqrt. 36, Approximate = 6

• Exact = sqrt. 22, Approximate = 4.69

• Exact = sqrt. 74, Approximate = 8.60

• Exact = sqrt. 82, Approximate = 9.05

4. What is the side length of a square that has an area of 169 square centimeters?

• 12

• 13

• 14

• 15

5. What is the edge length of the cube with a volume of 225 cubic centimeters?

• 5.08..

• 6.08...

• 6

• 7.08...

6. Which line segment has a length of sqrt. 26 units?

• A

• B

• C

• D

7. Which point shows the approximate location of sqrt. 12 on the number line?

• A

• B

• C

• D

8. Between which two whole numbers does sqrt. 47 lie?

• 5 and 6

• 6 and 7

• 7 and 8

• 8 and 9

9. Between which two numbers does the cube root of 65 lie?

• 3 and 4

• 4 and 5

• 5 and 6

• 6 and 7

10. Determine whether the triangle with the given sides is a right triangle: 10 cm, 10 cm, sqrt. 200 cm

• Right Triangle

• Not a Right Triangle