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Review: Pythagorean Theorem & Trigonometric Ratios

Last updated about 5 years ago

20 questions

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Use what we have learned about the Pythagorean Theorem to answer questions #1 through #7.

Question 1

1.

What is the longest side of a right triangle called.

Hypothesis 

Hypotenuse 

Hippopotamus 

Hypocrite 

Question 2

2.

What do the two legs in a right triangle do?

Sit across from the right angle

Form the right angle 

Form a non-right angle

Go for a walk--they're legs after all!

Question 3

3.

Which is the correct version of the Pythagorean Theorem?

Question 4

4.

The Pythagorean Theorem only works with what type of triangle?

Acute

Right

Equlateral

Obtuse

Question 5

5.

Which is showing the correct work/answer?

Question 6

6.

Which of the following shows the correct set-up to determine the length from A to B?

Question 7

7.

Which of the following do you need to calculate the length of a side of a triangle using the Pythagorean Theorem?

one side and one (acute) angle in only a right triangle will work when using the Pythagorean Theorem

two out of the three sides in any type of triangle will work when using the Pythagorean Theorem

one side and one angle in any type of triangle will work when using the Pythagorean Theorem

two out of the three sides in only a right triangle will work when using the Pythagorean Theorem

Use what we have learned about the Converse of the Pythagorean Theorem to answer questions #8 through #10.

Question 8

8.

If the following three sides form a right triangle—13.5, 61.5, 60, which side is the hypotenuse?

60

61.5

13.5

Question 9

9.

You are given sticks that are 10 in, 11 in, and 13 in long. Can you place the sticks such that they form a right triangle?

Yes, because a triangle has 3 sides

No, because 10+11 does not equal 13

No, because 100 + 121 does not equal 169

Yes, because there is a small side, a medium side, and a long side

Question 10

10.

Which is the correct work to determine if a triangle with side lengths of 72, 97, and 65 form a right triangle?

Use what we have learned about Trigonometric Ratios to answer questions #11 through #20.

Question 11

11.

44/117

44/125

117/44

117/125

Question 12

12.

C

24/10

10/24

24/26

10/26

Question 13

13.

Which of the following is the correct ratio for the sin (A)?

16/24

24/16

24/30

16/30

Question 14

14.

Which of the following do you need to calculate the length of a side of a triangle using Trigonometric Ratios?

two out of the three sides in only a right triangle will work when using Trigonometric Ratios

two out of the three sides in any type of triangle will work when using Trigonometric Ratios

one side and one (acute) angle in any triangle will work when using Trigonometric Ratios

one side and one (acute) angle in only a right triangle will work when using Trigonometric Ratios

Question 15

15.

Which shows the correct set-up to solve for the value of X in the diagram?

Question 16

16.

Which shows the correct set-up to solve for the value of X in the diagram?

Question 17

17.

Which shows the correct set-up to solve for the value of X in the diagram?

Question 18

18.

Which is showing the correct work/answer?

Question 19

19.

Which is showing the correct work/answer?

Question 20

20.

Which is showing the correct work/answer?