Free Printable Pythagorean Theorum

1.

What is the formula to find the hypotenuse?

a)

$a^2+b^2=c^2$

b)

$a+b+c$

c)

$a^2-c^2=b$

d)

$9+a^{ }=c^2$

2.

The longest side of a triangle, which exactly opposes the right angle is the (a) .

3.

What is the side of the triangle which is not the Hypotenuse?

(a)

4.

What type of triangle can the formula to find hypotenuse be used on?

a)

Obtuse

b)

Acute

c)

Right

d)

None

5.

If two sides of a triangle are 6 and 8, how long is the hypotenuse?

a)

11

b)

912

c)

9

d)

10

6.

If the sides of the triangle are 9, 40, and 41, which one is a the hypotenuse?

a)

9

b)

40

c)

4.1

d)

41

7.

If the sides of the triangle are 6 and 12 what is the hypotenuse? Round to the nearest whole number.

a)

13

b)

12

c)

17

d)

14

8.

What is the length of the missing side?

a)

14

b)

12

c)

7

d)

4

9.

What is the length of the missing side?

a)

8

b)

9

c)

10

d)

7

10.

What equation can be used to solve for X?

a)

$441+225=x$

b)

500+225=x

c)

$21^2-15^2=x^2$

d)

$21^2+15^2=x$

11.

What is the value of side C?

a)

$\sqrt{52}$

b)

$\sqrt{64}$

c)

18

d)

7

12.

What is the length of the hypotenuse?

a)

6

b)

3

c)

5

d)

4

13.

The length of the legs of a triangle are 10 and 24. What is the length of the hypotenuse?

a)

13

b)

26

c)

14

d)

32

14.

A triangular slide has a height of 14 feet. The base of the slide is 16 feet long. How long is the slide?

a)

452

b)

21.26

c)

20.34

d)

14

15.

The bottom of a 13-foot straight ladder is set into the ground 5 feet away from a wall. When the top of the ladder is leaned against the wall, what is the distance above the ground it will reach?

a)

7

b)

8

c)

12

d)

14

16.

Reginald travels from his house directly west to the bank and then directly north from the bank to the mall. He then travels home on the road connecting the mall and his house. What is his total distance traveled?

(a)

17.

A diagonal bar is being added to a playground. How long is the bar?

a)

2.6

b)

6.1

c)

9.2

d)

5.4

18.

Pythagorean theorem states that “In a right-angled triangle, the sum of the square of the other two sides of a triangle is equal to the

a)

Square root of the hypotenuse

b)

square of the hypotenuse

c)

cubed root of hypotenuse

d)

cube of the third leg

19.

In a right triangle, the length of the base is 3 cm, hypotenuse is 5 cm. Find the value of the missing side.

a)

9

b)

4

c)

5

d)

6

20.

Which of the following are Pythagorean triples?

a)

(5,12,19)

b)

(4,18,19)

c)

All options

d)

(3,4,5)

Pythagorean Theorum

Total questions: 20

Worksheet time: 5hrs 0mins

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