1. 5-8 Special Right Triangles
Learning Goal: Apply the properties of & triangles in simplest radical form

2. Exploration
What is special about the triangles created by folding a square at its diagonal?
What is special about the triangles created by folding an equilateral triangle in half?
Work with your partner to complete the investigation sheet.
Leave answers in SIMPLEST RADICAL FORM.

3. Observations Let’s compare your answers with the class
What observations do you notice about the side lengths and angles of the triangles created by folding a square at its diagonal?
What observations do you notice about the side lengths and angles of the triangles created by folding an equilateral triangle in half?
Turn to workbook pg to use variables!

4. 45o - 45o - 90o Triangles Notes Formulas Let x = length of the legs
Legs are the same length
Hyp = leg
Hypotenuse
450
Leg x x
450 x
Leg

5. 30o - 60o - 90o Triangles Notes Formulas
Let x = length of shortest leg
Hyp = 2(short)
Long= Short
Short leg is always opposite 300
Long leg is always opposite 600
Hypotenuse
300 2x
Long Leg x
600 x
Short leg

6. Workbook Examples
Turn to page 229 and complete example 3

7. Example 4: Calculate the length of the missing sides
450
16cm

8. Example 5: Calculate the length of the missing sides
300

9. Example 6: Area
What is the area of an equilateral triangle that has a side length of 20in? Leave your answer in simplest radical form.

10. 5-8 Classwork (not graded)
Workbook pg 230 ALL
Rationalize the denominator if necessary.
× 2
Long Leg Short Leg Hypotenuse
× 3
÷ 3
÷ 2
Leg Hypotenuse
× 2
÷ 2

11. Honors: 5-8 Assignments Primary Assignment: join.quizizz.com Codes:
Period 1:
Period 5:
Period 6:
Secondary Assignment:
Workbook pg 231 #1 – 6
Workbook pg 232 #1, 2, 5, 6

12. Standard: 5-8 Assignments
Primary Assignment: join.quizizz.com
Codes:
Period 2:
Period 4:
Period 7:
Secondary Assignment:
Workbook pg 231 #1 – 6
Workbook pg 232 #2, 5, 6