m7 1203 inequality theorem.notebook · to create a triangle the sum of any two side lengths must be...

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M7_1203_Inequality_Theorem.notebook 1 April 20, 2016 Apr 213:32 PM WE TRIΔNGLES!!! Topic : Triangles Aim : How can we determine if side lengths can form a triangle? Try Now: Dennis has a sailboat. The sail on his boat is in the shape of a triangle with side lengths 6 feet, 8 feet and 10 feet. These dimensions work to form a triangle, but not just any three lengths can form a triangle. Complete the investigation to determine which side lengths can form a triangle. Jan 163:03 PM WE TRIΔNGLES!!! Supplies • Worksheet 1203 • Ruler • Ziplock with strips of paper Check that you have 11 strips made up of x3 x1 x3 x1 x1 x2

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M7_1203_Inequality_Theorem.notebook

1

April20,2016

Apr213:32PM

WE TRINGLES!!!Topic:TrianglesAim:How can we determine if side lengths can form a triangle?

TryNow:Dennis has a sailboat. The sail on his boat is in the shape of a triangle with side lengths 6 feet, 8 feet and 10 feet. These dimensions work to form a triangle, but not just any three lengths can form a triangle. Complete the investigation to determine which side lengths can form a triangle.

Jan163:03PM

WE TRINGLES!!!Supplies Worksheet1203 Ruler Ziplockwithstripsofpaper

Checkthatyouhave11stripsmadeupof

x3x1

x3

x1

x1x2
M7_1203_Inequality_Theorem.notebook

2

April20,2016

Jan163:03PM

Examples:

yes!

WE TRINGLES!!!

yes!

NO!

3cm

5cm4cm

8cm

15cm13cm

Exam

ples:

Jan163:03PM

WE TRINGLES!!!
M7_1203_Inequality_Theorem.notebook

3

April20,2016

Jan163:03PM

WE TRINGLES!!!

Triangle Inequality Theorem for Side Lengths

Tocreateatrianglethesumofanytwosidelengthsmustbegreaterthan thelengthofthethirdside.

ALGEBRA: a+b>c

InWords:

a

bc

Example:Canthegivensidelengthsformatriangle?Explain.

6,2,8 8,6,3

Jan163:03PM

WE TRINGLES!!!
M7_1203_Inequality_Theorem.notebook

4

April20,2016

Jan163:03PM

WE TRINGLES!!!
Attachments

Proof_in_Motionsumofanglemeasuresinatriangle.ppt

Lets review what we did to our triangles

A

B

C

How can we use our knowledge of Alternate Interior Angles to help with our conjecture?

SMART Notebook

Page 1Page 2Page 3Page 4Attachments Page 1

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