Chapter 8: Q7. (page 292)
Find the value of from the given figure.

Short Answer
The value of is.
/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none}
Learning Materials
Features
Discover
Chapter 8: Q7. (page 292)
Find the value of from the given figure.

The value of is.
All the tools & learning materials you need for study success - in one app.
Get started for free
Simplify.
Find the value of from the given figure.

Simplify
Find the value of from the given figure.

The arithmetic mean between two numbers and is defined to be .

is the median and is the altitude to the hypotenuse of right . Show that is the arithmetic mean between and , and that is the geometric mean between and . Then use the diagram to show that the arithmetic mean is greater than the geometric mean.
Show algebraically that the arithmetic mean between two different numbers and is greater than the geometric mean.
What do you think about this solution?
We value your feedback to improve our textbook solutions.