Education Technology

# Activities

• ##### Subject Area

• Math: Geometry: Analytic Geometry
• Math: Geometry: Triangles

9-12

45 Minutes

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

TI-Nspire™
TI-Nspire™ CAS

3.2

## Ratios of Right Triangles

#### Activity Overview

In this activity, students will explore the ratios of right triangles. Students will discover that they can find the measure of the angles of a right triangle given the length of any two sides.

#### Key Steps

• In this activity, students will investigate ratios of right triangles. First, students will be asked several questions about the definition of the sine, cosine, and tangent ratios.

• Next, students will investigate the sine and cosine ratios. Since the ratios are fixed in a right triangle, we can find the measure of the angles using trigonometry. Students will use the Lists & Spreadsheet application to collect data and see that the ratio remains constant.

• Finally, the students will be asked to apply what they have learned to find the measure of the angles of a right triangle given the measure of at least two sides.