Geometry 8.1, Similarity in Right Triangles

An explanation of how the altitude drawn from the vertex of a right triangle to the hypotenuse forms two right triangles. A theorem (8.1.1) about an altitude drawn to the hypotenuse of a right triangle will form two similar triangles, and a we do a proof of that theorem. We discuss the geometric mean of two positive numbers is the positive square root of their product. We find the geometric mean of a pair of numbers and write them in simplest radical form. We use our theorem to write proportions comparing the side lengths of right triangles formed by the altitude to the hypotenuse. Geometric Means Corollaries 8.1.2 and 8.1.3 are used to help us find an altitude x, leg b, and leg a of a right triangle. We estimate the height of a statue using the corollaries.

Algebra I #3.9c, Proportions – Means and Extremes

Geometry 7.3b, Proofs with Similar Triangles

High School Geometry Playlist
https://www.youtube.com/playlist?list=PLKi4WTp6PRGVBM1nPhwW1lTuxi32Q0IZ3

FOLLOW ME:
TWITTER https://twitter.com/JoannsSchool
FACEBOOK Message me! https://www.facebook.com/JoAnnsSchool/
MINDS Minds.com/joannsschool

SUPPORT MY WORK:
PATREON https://www.patreon.com/JoannsSchool
PAYPAL https://www.paypal.com/cgi-bin/webscr?cmd=_s-xclick&hosted_button_id=KKAMABTBVDFNY
YOUTUBE https://www.youtube.com/channel/UCAZKtYcE5Jgd6hVL-RHv6Vw