# Right Triangles and Trigonometry: Be Geometric Nice, Not Geometric Mean Quiz

Think you’ve got your head wrapped around

*? Put your knowledge to the test. Good luck — the Stickman is counting on you!***Right Triangles and Trigonometry**Q. The geometric mean of

*a*and*b*is equal to which of the following?*a*+

*b*

Q. What is the geometric mean of 16 and 25?

20

20.5

40

41

None of the above

Q. What is the geometric mean of 2 and 8?

2

3

4

5

6

Q. The geometric mean of 25 and another number is 15. What is the other number?

5

6

7

8

9

Q. The geometric mean should be used to find which of the following?

The height of a right triangle when one of the legs is the base

The best distance to stand away from the TV

The average of two numbers

All of the above

None of the above

Q. The Pythagorean theorem states that the sum of the squares of a right triangle's two legs is equal to what?

The hypotenuse

The square of the hypotenuse

The square root of the hypotenuse

Two times the hypotenuse

One half times the hypotenuse

Q. A right triangle has two legs with lengths 7 and 10. What's the length of the hypotenuse?

8.5

11.7

12.2

13.1

15.3

Q. Find the height of an altitude that splits the hypotenuse of a right triangle into segments of 3 and 8.

3.5

4

4.3

4.9

5

Q. The hypotenuse of a right triangle is 30. If one of its legs is 17, what's the length of the other leg?

20.1

24.7

25.3

25.9

27.2

Q. What does the converse Pythagorean theorem state?

Any shape that satisfies the Pythagorean theorem is a triangle

Any triangle that satisfies the Pythagorean theorem is scalene

Any right triangle will satisfy the Pythagorean theorem

Any triangle that satisfies the Pythagorean theorem is right

Any triangle that satisfies the Pythagorean theorem is wrong

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