In this activity, the objective is to understand the relationship that exists among the 3 angles and the 3 sides.  You will make several different triangles based on an exact angle and/or side length.​[br]​

Create a new triangle ABC so that...​[br][list][*] A = 60 degrees​[br][/*][*] B = 60 degrees​[br][/*][*] C = 60 degrees​[br][/*][*]"a" = 8​[br][/*][*]"b" = 8​[br][/*][*]"c" = 8​[br][/*][/list]​[br][b]Explain Clearly in Steps How You Created This Triangle[/b].  [br]What did you do to reduce the angle A?  [br]What did you do to increase angles B and C?  [br]Can we create this triangle by following your steps? ​

[size=150]TRIANGLE #2[/size][br][br]Start with triangle ABC so that...​[br][list][*] A = 60 degrees​[br][/*][*] B = 60 degrees​[br][/*][*] C = 60 degrees​[br][/*][*]"a" = 8​[br][/*][*]"b" = 8​[br][/*][*]"c" = 8​​[/*][/list]​[br]Now create triangle #2 to match angle and side length dimensions below.  [b]What are the missing values [/b]?​[br][list][*] A = 20 degrees​[br][/*][*] [b]B =  ?   degrees​[/b][br][/*][*] C = 60 degrees​[br][/*][*]"[b]a" = ?​[/b][br][/*][*]"b" = 8​[br][/*][*]"c" = 3​[/*][/list]​[br][b]Explain clearly in steps how you created this triangle.  ​[br][/b]What did you do to reduce the angle A from 60 to 20 degrees?  What were the effects of this? ​[br]How does angle B change? ​[br]How did "c" reduce from 8 to 3?  What were the effects of this? ​[br]Can we create the triangle by following your steps ? ​

[size=150]TRIANGLE # 3[/size][br][br]Start with triangle ABC so that...​[br][list][*] A = 60 degrees​[br][/*][*] B = 60 degrees​[br][/*][*] C = 60 degrees​[br][/*][*]"a" = 8​[br][/*][*]"b" = 8​[br][/*][*]"c" = 8​[br][/*][/list]​[br]Now create triangle #3 to match angle and side length dimensions below.  ​[br]Uncover the missing values?​[br][list][*] A =  45 degrees​[br][/*][*] [b]B =   ? degrees​[/b][br][/*][*] C =  90 degrees​[br][/*][*][b]"a" = ?​[/b][br][/*][*]"b" = 7​[br][/*][*][b]"c" = ?​[/b][br][/*][/list]​[br]​[br][b]Explain Clearly in Steps How You Created This Triangle.  ​[/b][br]What did you do to reduce the angle A from 60 to 20 degrees?  What were the effects of this? ​[br]How does angle B change? ​[br]How did "c" reduce from 8 to 3?  What were the effects of this? ​[br]I should be able to create this triangle by following your steps. ​[br]​

[size=150]TRIANGLE # 4[/size][br][br]Start with triangle ABC so that...​[br][list][*] A = 60 degrees​[br][/*][*] B = 60 degrees​[br][/*][*] C = 60 degrees​[br][/*][*]"a" = 8​[br][/*][*]"b" = 8​[br][/*][*]"c" = 8​[br][/*][/list]​[br]Now create triangle #4 to match angle and side length dimensions below.  ​[br]Uncover the missing value?​[br][list][*] A =  60 degrees​[br][/*][*] [b]B =   ? degrees​[/b][br][/*][*] C =  90 degrees​[br][/*][*][b]"a" = ?​[/b][br][/*][*]"b" = 7​[br][/*][*][b]"c" = ?​[/b][br][/*][/list]​[br]​[br][b]Explain Clearly in Steps How You Created This Triangle.  [/b][br]Draw triangles showing how the angles and lengths are changing and moving into the correct amounts. ​[br]I should be able to create this triangle by following your steps. ​[br]​[code][/code]

Start with triangle ABC so that...​[br][list][*] A = 60 degrees​[br][/*][*] B = 60 degrees​[br][/*][*] C = 60 degrees​[br][/*][*]"a" = 8​[br][/*][*]"b" = 8​[br][/*][*]"c" = 8​[br][/*][/list]​[br]Now create triangle #5 to match angle and side length dimensions below.  ​[br]Uncover the missing values?​[br][list][*] A =  125 degrees​[br][/*][*][b] B =   ? degrees​[br][/b][/*][*][b] C =   ? degrees​[/b][br][/*][*]"a" = 4​[br][/*][*][b]"b" = ?​[/b][br][/*][*]"c" = 8​[br][/*][/list]​[br]​[br][b]Explain clearly in steps how you created this triangle.  [/b][br]Draw triangles showing how the angles and lengths are changing and moving into the correct amounts. ​[br]I should be able to create this triangle by following your steps. ​[br]​