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Geometry Worksheet 8.1 Similar Right TrianglesName Date Hour Write the proportion. Then find the geometric mean of each pair of numbers. Leave all answers in the simplest radical form. 1. 5 and 202.

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Geometric Mean The geometric mean between two numbers is the square root of their product. For two positive numbers a and b, the geometric mean of a and b is the positive number x in the proportion Cross multiplying gives x2 = ab, so x = Vab.

Geometric Mean (Altitude) Thm. The altitude drawn to the hypotenuse of a right triangle separates the hypotenuse into two segments. The length of this altitude is the geometric mean between the lengths of these two segments. If CD is the altitude to hypotenuse AB of right triangle ABC, then x/h=h/y.

1:04 2:51 Leg Geometric Mean Theorem - YouTube YouTube Start of suggested clip End of suggested clip So that's 4 we cross multiply we get x squared equals 36. And if we take the square root we get 6.MoreSo that's 4 we cross multiply we get x squared equals 36. And if we take the square root we get 6. So that's the length of the leg of the overall right triangle.

Now the product of 4 and 16 is 64. The geometric mean is given by the root of the product of the two numbers. So the geometric mean of 4 and 16 will be the root of 64. Thus 8 is the geometric mean of 4 and 16.

What Is the Geometric Mean? In statistics, the geometric mean is calculated by raising the product of a series of numbers to the inverse of the total length of the series. The geometric mean is most useful when numbers in the series are not independent of each other or if numbers tend to make large fluctuations.

For example, the geometric mean calculation can be easily understood with simple numbers, such as 2 and 8. If you multiply 2 and 8, then take the square root (the ½ power since there are only 2 numbers), the answer is 4.

So, geometric mean of 20,45 is 20×45 =5×4×9×5 =5×2×3=30.

The geometric mean of 8 and 18 is equal to 12.

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Adoption
Bankruptcy
Contractors
Divorce
Home Sales
Employment
Identity Theft
Incorporation
Landlord Tenant
Living Trust
Name Change
Personal Planning
Small Business
Wills & Estates
Packages A-Z
Form Categories
Affidavits
Bankruptcy
Bill of Sale
Corporate - LLC
Divorce
Employment
Identity Theft
Internet Technology
Landlord Tenant
Living Wills
Name Change
Power of Attorney
Real Estate
Small Estates
Wills
All Forms
Forms A-Z
Form Library
Customer Service
Terms of Service
DMCA Policy
About Us
Blog
Affiliates
Contact Us
Privacy Notice
Delete My Account
Site Map
All Forms
Search all Forms
Industries
Forms in Spanish
Localized Forms
Legal Guides
Real Estate Handbook
All Guides
Prepared for You
Notarize
Incorporation services
Our Customers
For Consumers
For Small Business
For Attorneys
Our Sites
US Legal Forms
USLegal
FormsPass
pdfFiller
signNow
airSlate workflows
DocHub
Instapage
Social Media
Call us now toll free:
1-877-389-0141
As seen in:
  • USA Today logo picture
  • CBC News logo picture
  • LA Times logo picture
  • The Washington Post logo picture
  • AP logo picture
  • Forbes logo picture
© Copyright 1997-2025
airSlate Legal Forms, Inc.
3720 Flowood Dr, Flowood, Mississippi 39232