30, 60, 90 Triangles

6 teachers like this lesson
Print Lesson

Objective

Students will be able to become familiar with the ratios of the sides of 30, 60, 90 triangles.

Big Idea

Students discover the patterns involved in a 30-60-90 triangle.

Discovering Similar Triangles with the Pattern a, a√3, 2a

20 minutes
30,60,90Triangles_DiscoverSimilarTriangles_Narrative.docx page 1
30,60,90Triangles_DiscoverSimilarTriangles_Narrative.docx page 2

Proving that These Triangles are 30, 60, 90 Triangles

15 minutes
Section Narrative as pdf document page 1
Section Narrative as pdf document page 2

Applying the Pattern

10 minutes

I ask that the students turn to the back of the Rectangle Diagrams handout.  These problems and the accompanying questions help to pull together and summarize the topic of the 30-60-90 Right Triangle.