How to Calculate the Geometric Mean in Triangles
The geometric mean of two numbers is the square root of their product. In a right triangle, the altitude to the hypotenuse is the geometric mean of the two segments it creates, which is where the right triangle similarity relationships come from.
Worked examples: geometric mean in a right triangle
Practice questions on the geometric mean in triangles
- If an altitude to the hypotenuse of a right triangle divides the hypotenuse into segments of (5 text{ cm}) and (20 text{ cm}), what is the length of the altitude?
- In a right triangle with a hypotenuse of (13 text{ cm}) and one segment of (5 text{ cm}), find the length of the leg adjacent to the (5 text{ cm}) segment.
- ( h = sqrt{5 times 20} = sqrt{100} = 10 text{ cm}).
- Leg length (= sqrt{13 times 5} approx 8.06 text{ cm}).
Original price was: $109.99.$54.99Current price is: $54.99.
Original price was: $109.99.$54.99Current price is: $54.99.
Related to This Article
More math articles
- CHSPE Math FREE Sample Practice Questions
- Find the long-run cost-minimizing input combination
- Why Math Matters in Your Future IT Career?
- The Best Grade 2 Math Worksheets for Pennsylvania Students
- Choice begins with opportunity cost and the margin
- 6th Grade STAAR Math FREE Sample Practice Questions
- The Best Algebra 1 Book for North Carolina Students
- Non-Mendelian Inheritance: Patterns and Worked Examples
- The Best Grade 5 ELA Practice Tests for Washington Students
- Best Laptops for Teachers
What people say about "Geometric Mean in Right Triangles"?
No one replied yet.