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 team to calculate the side lengths of the right triangles you are given.
Leave answers in SIMPLEST RADICAL FORM.

3. Observations Let’s compare your team’s answers with the class
What patterns do you notice about the side lengths of the triangles created by folding a square at its diagonal?
What patterns do you notice about the side lengths 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 side
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 sides8
300

8. Example 5: Calculate the length of the missing sides
450

9. 5-8 Classwork Workbook pg 230 ALL
Rationalize the denominator if necessary.
× 2
Long Leg Short Leg Hypotenuse
× 3
÷ 3
÷ 2
Leg Hypotenuse
× 2
÷ 2

10. Honors: 5-8 Assignments Primary Assignment: Due Tuesday
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Codes:
Period 2:
Period 4:
Period 6:
Secondary Assignment:
Workbook pg 231 #1 – 6
Workbook pg 232 #1, 2, 5, 6

11. Standard: 5-8 Assignments
Primary Assignment: Due date TBA
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Codes:
Period 1:
Period 5:
Period 7:
Secondary Assignment:
Workbook pg 231 #1 – 6
Workbook pg 232 #2, 5, 6