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Pythagorean Theorem Leg Hypotenuse

Total questions: 27

Worksheet time: 1hrs 8mins

Name
Class
Date
1.

The Pythagorean Theorem is _________

a)

a + b = c

b)

a2 + b2 = c2

c)

a2 + b2 + c2

d)

A = LW

2.

​ ​ ​ Draw a right triangle and label the sides using: Leg, Leg, Hypotenuse

3.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
4.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

5.

What is a right triangle?

a)

A triangle where all sides equal 90 degrees

b)

A triangle where every angle is 90 degrees

c)

A triangle where all three sides are equal

d)

A triangle where there is a 90 degree angle

6.

Hypotenuse

a)

Vertical side in a right triangle

b)

Longest side in a right triangle

c)

Horizontal side in a right triangle

d)

a2 + b2 = c2

7.

Use the Pythagorean Theorem to solve the problem

a)

6

b)

7

c)

8

d)

9

8.

Use the Pythagorean Theorem to solve the problem

a)

29\sqrt[]{29} about 5.4

b)

7\sqrt[]{7} about 2.6

c)

21\sqrt[]{21} about 4.6

9.

Use the Pythagorean Theorem to solve the problem

a)

6

b)

117\sqrt[]{117} about 10.8

c)

45\sqrt[]{45} about 6.7

10.

Use the Pythagorean theorem to solve the problem

a)

187\sqrt[]{187} which is about 13.7

b)

205\sqrt[]{205} which is about 14.3

c)

15

11.

Use the Pythagorean Theorem to complete the problem

a)

3

b)

4

c)

5

d)

6

12.

Use the Pythagorean Theorem to solve the problem

a)

458\sqrt[]{458} about 21.4

b)

120\sqrt[]{120} about 10.9

c)

26

13.

Use the Pythagorean Theorem to solve the problem

a)

192\sqrt[]{192} about 13.9

b)

24\sqrt[]{24} about 4.9

c)

320\sqrt[]{320} about 17.9

14.

Use the Pythagorean Theorem to solve the problem

a)

3\sqrt[]{3} about 1.7

b)

15\sqrt[]{15} about 3.9

c)

17\sqrt[]{17} about 4.1

15.

Use the Pythagorean Theorem to solve the problem

a)

18\sqrt[]{18} about 4.2

b)

72\sqrt[]{72} about 8.5

c)

170\sqrt[]{170} about 13

16.

Which side is the hypotenuse?

a)

9

b)

x

c)

14

17.

Which sides are the legs of the triangle?

a)

9 and 15

b)

9 and 12

c)

12 and 15

d)

15

18.

Which equation can be used to solve for "x"?

a)

152 – x2 = 212

b)

x2 – 152 = 212

c)

152 + 212 = x2

d)

212 – 152 = x2

19.
What is the final step in solving this work for c?
a2 + b2 = c2
32 + 42 = c2
9 + 16 = c2
25 = c2
a)
Divide both sides by 2
b)
Take the square root of both sides
20.

You can find right triangles when they build houses.

a)

False

b)

True

21.

Find the missing side.

a)

18

b)

16

c)

17

d)

19

22.

Find the missing side.

a)

11

b)

12

c)

13

d)

14

23.
Find the missing side
a)
9
b)
41
c)
6.4
d)
3
24.
What is the length of the missing leg? Round to the nearest tenth.
a)
2.0 in
b)
11.4 in
c)
5.7 in
d)
5.6 in
25.
A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?
a)
9ft
b)
11ft
c)
6ft
d)
14ft
26.

a)

24

b)

6.9

c)

7.1

d)

17

27.

a)

13

b)

17

c)

7

d)

10.9