wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Pythagorean Theorem Practice

Total questions: 15

Worksheet time: 40mins

Name
Class
Date
1.

Find the length of x. Leave in simplest radical form if necessary.

a)

 373\sqrt{7}  

b)

15

c)

21

d)

23

2.

Find the length of x. Leave in simplest radical form if necessary.

a)

6416\sqrt{41}

b)

6

c)

12

d)

18

3.

Find the length of x. Leave in simplest radical form if necessary.

a)

58\sqrt{58}

b)

2102\sqrt{10}

c)

23\sqrt{23}

d)

10

4.

Will the following side lengths make a triangle? If so, what kind of triangle?

5, 10, 14

a)

Yes,

Right Triangle

b)

Yes,

Acute Triangle

c)

Yes,

Obtuse Triangle

d)

No

5.

Find the length of x. Leave in simplest radical form if necessary.

a)

232\sqrt{3}

b)

6176\sqrt{17}

c)

6156\sqrt{15}

d)

18

6.

Will the following side lengths make a triangle? If so, what kind of triangle?

3, 7, 10

a)

Yes,

Right Triangle

b)

Yes,

Acute Triangle

c)

Yes,

Obtuse Triangle

d)

No

7.

Find the length of x. Leave in simplest radical form if necessary.

a)

8

b)

4

c)

222\sqrt{2}

d)

2342\sqrt{34}

8.

Find the length of x. Leave in simplest radical form if necessary.

a)

21192\sqrt{119}

b)

34

c)

26

d)

25

9.

Will the following side lengths make a triangle? If so, what kind of triangle?

7, 2, 3

a)

Yes,

Right Triangle

b)

Yes,

Acute Triangle

c)

Yes,

Obtuse Triangle

d)

No

10.

Find the length of x. Leave in simplest radical form if necessary.

a)

4

b)

2\sqrt{2}

c)

2

d)

1

11.

Will the following side lengths make a triangle? If so, what kind of triangle?

26, 24, 10

a)

Yes,

Right Triangle

b)

Yes,

Acute Triangle

c)

Yes,

Obtuse Triangle

d)

No

12.

Find the length of x. Leave in simplest radical form if necessary.

a)

140 yards

b)

2352\sqrt{35} yards

c)

70 yards

d)

50 yards

13.

Will the following side lengths make a triangle? If so, what kind of triangle?

4, 8, 7

a)

Yes,

Right Triangle

b)

Yes,

Acute Triangle

c)

Yes,

Obtuse Triangle

d)

No

14.

Find the length of bd. Leave in simplest radical form if necessary.

a)

 69\sqrt{69}  

b)

 269\sqrt{269}  

c)

12

d)

8

15.

A 17-foot long ladder is leaning against a building. If the base of the ladder is 8 ft from the building, how far up the building is ladder sitting? Round your answer to the nearest tenth if necessary.

a)

25 feet

b)

18.8 feet

c)

15 feet

d)

9 feet