Let's learn how to calculate the geometric mean. This is a concept video useful for Mathematics Olympiad and ISI and CMI Entrance.
Suppose a and b are positive numbers then their geometric mean is defined as square root of a times b. This is the formula of geometric mean.
We will construct the geometric mean of a and b geometrically. So, here are the steps:
7. Now, join XN and YN, and then look at the triangles YMN and XMN and try to show that these two triangles are actually similar. Now, see the following proof:
8. Since, we know that similar triangles have proportional sides. So, we can say,
Hence, this is proved.
Hope you liked it!
From the video below, let's learn from Dr. Ashani Dasgupta (a Ph.D. in Mathematics from the University of Milwaukee-Wisconsin and Founder-Faculty of Cheenta) how you can shape your career in Mathematics and pursue it after 12th in India and Abroad. These are some of the key questions that we are discussing here: