Special Right Triangle Lesson for High School Geometry

1. Starting Question
• What is the Pythagorean Theorem?
o Theorem in words
o Picture
o Formula
o Example

2. Review of Pythagorean
Theorem

3. Special Right Triangles
45-45-90
• Characteristics
o Angle measurements are 45, 45, and 90
o Two sides have same length
o It is an isosceles triangle

4. 45-45-90 Shortcut

5. Special Right Triangles
30-60-90
• Characteristics
o Angle measurements are 30, 60, and 90
o It is a scalene triangle

6. 30-60-90 Shortcut

7. Shortcuts

8. Exit Ticket
• Draw both special right triangles with the
appropriate ratios for side measurements, and with
all angle measurements