Education Technology

# Activities

• ##### Subject Area

• Math: Geometry: Similarity and Proportion
• Math: Geometry: Triangles

9-12

50 Minutes

• ##### Device
• TI-Nspire™ CX/CX II
• TI-Nspire™ CX CAS/CX II CAS
• TI-Nspire™
• TI-Nspire™ CAS
• ##### Software

TI-Nspire™
TI-Nspire™ CAS

3.0

• ##### Other Materials
Geometry_GeometricMean_Trogdon.tns is the document to be used on either TI-Nspire or TI-Nspire CAS technology. There is a accompanying notetaking document to go with the activity.

## Exploring the Geometric Means of a Right Triangle - When the Altitude to the Hypotenuse Is Drawn

#### Activity Overview

Students will explore the concept of geometric mean and solve right triangle problems using geometric mean proportions.

A TI-Nspire activity demonstrates interactively the geometric mean relationship, and an activity sheet applies the relationship to solve triangle problem. Most discussions of geometric mean related to right triangles are restricted to the length of the altitude as the mean between the parts of the hypotenuse determined by the point where the altitude intersects the hypotenuse.