Quiz about Pythagorean Theorem (Legs and Hypotenuse)

Question 1

The Pythagorean Theorem is
c² = a² - b²

Accepted Answer

false

Answer

true

Question 2

Sides a and b are called legs.

Accepted Answer

true

Answer

false

Question 3

Side c on a right triangle is ALWAYS the longest.

Accepted Answer

true

Answer

false

Question 4

_{^{Find the missing side}}

Accepted Answer

6.4

Answer

9

Answer

41

Answer

6.2

Question 5

Find h

Accepted Answer

35.71

Answer

35.60

Answer

35.00

Answer

61.03

Question 6

The Pythagorean Theorem ONLY works on which triangle?

Accepted Answer

right

Answer

obtuse

Answer

scalene

Answer

isosceles

Question 7

What is the opposite of squaring a number?

Accepted Answer

square root

Answer

divide

Answer

multiply

Answer

fractions

Question 8

The Pythagorean Theorem is
a² + b³= c⁴

Accepted Answer

false

Answer

true

Question 9

All of the a square plus all of the b square will perfectly fill the c square with nothing left over.

Accepted Answer

True

Answer

False

Question 10

_{^{Find the missing side}}

Accepted Answer

18.2

Answer

9

Answer

26.9

Answer

37

Question 11

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Accepted Answer

27 feet

Answer

25 feet

Answer

26 feet

Answer

28 feet

Question 12

What is the formula used to solve for the hypotenuse?

Accepted Answer

a²⁺b²=c²

Answer

a+b=c

Answer

a-b=c

Answer

c-a=c

Question 13

The legs form what type of angle?

Accepted Answer

Right

Answer

Acute

Answer

Obtuse

Answer

Reflex

Question 14

you ADD a² and c² then take the square root to find b on a right triangle.

Accepted Answer

false

Answer

true

Question 15

you ADD a² and b² then take the square root to find c on a right triangle.

Accepted Answer

true

Answer

false

Question 16

The Pythagorean Theorem is
a² + b²+ c²

Accepted Answer

false

Answer

true

Question 17

Find the length of the missing side.

Accepted Answer

52 cm

Answer

25 cm

Answer

42 cm

Answer

48 cm

Question 18

What is the name for side c?

Accepted Answer

hypotenuse

Answer

head

Answer

body

Answer

hippopotamus

Question 19

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

Accepted Answer

40 miles

Answer

17 miles

Answer

32 miles

Answer

37 miles

Question 20

Solve for x.

Accepted Answer

40.2

Answer

38.9

Answer

45.6

Answer

54

Question 21

Find the length of the missing side.

Accepted Answer

13 cm

Answer

17 cm

Answer

22 cm

Answer

15 cm

Question 22

Find the length of the missing side.

Accepted Answer

80 in.

Answer

20 in.

Answer

68 in.

Answer

16 in.

Question 23

Question 23.

Accepted Answer

The diagonal is 26 ft

Answer

The diagonal is 31 ft

Answer

The diagonal is 21.8 ft

Answer

The diagonal is 20.9 ft

Question 24

John was mapping out a route to ride his bike. The route he picked forms a right triangle, as shown. If the route takes him ten miles on Forrest Lane and twenty-six miles on Cedar Drive, how far will Anthony ride down Pine Avenue? If necessary, round your answer to the nearest whole mile.

Accepted Answer

24 miles

Answer

28 miles

Answer

27 miles

Answer

23 miles

Question 25

Which of the following sentences would belong in the proof that describes this image?

Accepted Answer

The sum of the areas of the two smaller squares is equal to the area of the large square.

Answer

The sum of the side lengths of the two smaller squares is equal to the side length of the large square.

Answer

The difference of the areas of the two smaller squares is equal to the area of the large square.

Answer

The differences of the side lengths of the two smaller squares is equal to the side length of the large square.

Question 26

The Pythagorean Theorem is
a² + b³= c⁴

Accepted Answer

false

Answer

true

Question 27

Find the length of the missing side.

Accepted Answer

80 in.

Answer

20 in.

Answer

68 in.

Answer

16 in.

Question 28

**Select all that apply. Which of the following equations represent Pythagorean Theorem? *Multiple Answers*

Accepted Answer

Leg² + Leg² = Hyp²

Accepted Answer

a² + b² = c²

Accepted Answer

c² - b² = a²

Answer

c - a = b

Answer

a + b = c

Question 29

What is the opposite of squaring a number?

Accepted Answer

square root

Answer

divide

Answer

multiply

Answer

fractions

Question 30

Find the length of the missing side.

Accepted Answer

13 cm

Answer

17 cm

Answer

22 cm

Answer

15 cm

Question 31

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

Accepted Answer

40 miles

Answer

17 miles

Answer

32 miles

Answer

37 miles

Question 32

Find the length of the missing side.

Accepted Answer

48 in.

Answer

52 in.

Answer

16 in.

Answer

24 in.

Pythagorean Theorem (Legs and Hypotenuse)

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