Copy of angles in a triangle (zoom)

ACTIVITY GOAL:

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.

TRIANGLE #1

Create a new triangle ABC so that...

A = 60 degrees
B = 60 degrees
C = 60 degrees
"a" = 8
"b" = 8
"c" = 8

Explain Clearly in Steps How You Created This Triangle. What did you do to reduce the angle A? What did you do to increase angles B and C? Can we create this triangle by following your steps?

TRIANGLE #2 Start with triangle ABC so that...

A = 60 degrees
B = 60 degrees
C = 60 degrees
"a" = 8
"b" = 8
"c" = 8

Now create triangle #2 to match angle and side length dimensions below. What are the missing values ?

A = 20 degrees
B = ? degrees
C = 60 degrees
"a" = ?
"b" = 8
"c" = 3

Explain clearly in steps how you created this triangle.  What did you do to reduce the angle A from 60 to 20 degrees? What were the effects of this? How does angle B change? How did "c" reduce from 8 to 3? What were the effects of this? Can we create the triangle by following your steps ?

TRIANGLE # 3 Start with triangle ABC so that...

A = 60 degrees
B = 60 degrees
C = 60 degrees
"a" = 8
"b" = 8
"c" = 8

Now create triangle #3 to match angle and side length dimensions below. Uncover the missing values?

A = 45 degrees
B = ? degrees
C = 90 degrees
"a" = ?
"b" = 7
"c" = ?

Explain Clearly in Steps How You Created This Triangle.  What did you do to reduce the angle A from 60 to 20 degrees? What were the effects of this? How does angle B change? How did "c" reduce from 8 to 3? What were the effects of this? I should be able to create this triangle by following your steps.

TRIANGLE # 4 Start with triangle ABC so that...

A = 60 degrees
B = 60 degrees
C = 60 degrees
"a" = 8
"b" = 8
"c" = 8

Now create triangle #4 to match angle and side length dimensions below. Uncover the missing value?

A = 60 degrees
B = ? degrees
C = 90 degrees
"a" = ?
"b" = 7
"c" = ?

Explain Clearly in Steps How You Created This Triangle. Draw triangles showing how the angles and lengths are changing and moving into the correct amounts. I should be able to create this triangle by following your steps.

TRIANGLE # 5

Start with triangle ABC so that...

A = 60 degrees
B = 60 degrees
C = 60 degrees
"a" = 8
"b" = 8
"c" = 8

Now create triangle #5 to match angle and side length dimensions below. Uncover the missing values?

A = 125 degrees
B = ? degrees
C = ? degrees
"a" = 4
"b" = ?
"c" = 8

Explain clearly in steps how you created this triangle. Draw triangles showing how the angles and lengths are changing and moving into the correct amounts. I should be able to create this triangle by following your steps.

Copy of angles in a triangle (zoom)

ACTIVITY GOAL:

TRIANGLE #1

TRIANGLE # 5

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