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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 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