Free Printable Unit 8: Pythagorean Theorem & Irrational Numbers,

Worksheets

Unit 8: Pythagorean Theorem & Irrational Numbers,

Total questions: 15

Worksheet time: 38mins

Name

Class

Date

What is the value of x?

(a)

What is the value of x in the image?

$\approx14$

$\approx16.6$

21.7

9.1

Mark needs to wash the windows on the second floor of a building.  He knows the windows are 15 feet above the ground.  Because of dense shrubbery, he has to put the base of the ladder 8 feet from the building.  What ladder length does he need?

(a)

An airplane flies 56 miles due north and then 33 miles due east. How many miles is the plane from its starting point?

65 miles

89 miles

45.4 miles

We don't have enough information.

What is the perimeter of the triangle? Round your answer to the tenths place.

(a)

What is the distance between the two points?

6.3

4.3

Find the distance.

9.7

10.7

11.7

12.7

What's the distance between (-8,4) and (3,7)?

$\sqrt[]{130}$

$\sqrt[]{34}$

Find the distance between (3, 2) and (7, 14).

(a)

10.

Select all of the side lengths that could make a right triangle.

12, 37, 35

7, 24, 25

4, $\sqrt[]{8}$ , $\sqrt[]{24}$

5, $\sqrt[]{17}$ , 42

6, 10, 12

11.

Convert $0.\overline{25}$ to a fraction.

25/9

25/99

25/100

1/4

12.

Convert $0.\overline{4}$ to a fraction.

4/10

4.4/99

4/9

2/5

13.

Convert $0.3\overline{7}$ into a fraction.

(a)

14.

Select all the rational numbers.

$6\pi$

$0.\overline{67}$

$\sqrt[]{49}$

$\sqrt[]{32}$

$0.785$

15.

Select all the irrational numbers.

$\sqrt[]{\frac{16}{25}}$

$\sqrt[]{17}$

$\frac{\pi}{4}$

$2.3649...$

$\frac{22}{7}$

Reset

Unit 8: Pythagorean Theorem & Irrational Numbers,

Total questions: 15

Worksheet time: 38mins

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