From 11:00PM PDT on Friday, July 1 until 5:00AM PDT on Saturday, July 2, the Shmoop engineering elves will be making tweaks and improvements to the site. That means Shmoop will be unavailable for use during that time. Thanks for your patience!
We have changed our privacy policy. In addition, we use cookies on our website for various purposes. By continuing on our website, you consent to our use of cookies. You can learn about our practices by reading our privacy policy.
© 2016 Shmoop University, Inc. All rights reserved.
Right Triangles and Trigonometry

Right Triangles and Trigonometry

Right Triangles and Trigonometry: Be Geometric Nice, Not Geometric Mean True or False

1. The geometric mean of a and b is equal to which of the following? ->
2. What is the geometric mean of 16 and 25? -> 40
3. What is the geometric mean of 2 and 8? -> 5
4. The geometric mean of 25 and another number is 15. What is the other number? -> 9
5. 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
6. The Pythagorean theorem states that the sum of the squares of a right triangle's two legs is equal to what? -> The square root of the hypotenuse
7. A right triangle has two legs with lengths 7 and 10. What's the length of the hypotenuse? -> 12.2
8. Find the height of an altitude that splits the hypotenuse of a right triangle into segments of 3 and 8. -> 5
9. 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
10. What does the converse Pythagorean theorem state? -> Any triangle that satisfies the Pythagorean theorem is scalene