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

Think you’ve got your head wrapped around Right Triangles and Trigonometry? Put your knowledge to the test. Good luck — the Stickman is counting on you!
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