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]