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Old 11-16-2008, 08:46 AM
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Default Triangular Pen

José wants to build a triangular pen for his pet rabbit. He has three lengths of boards already cut that measure 7 feet, 8 feet, and 16 feet. Explain why José cannot construct a pen in the shape of a triangle with sides of 7 feet, 8 feet, and 16 feet.

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Old 11-16-2008, 09:15 AM
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Hello, magentarita!

Did you make a sketch?


Quote:
José wants to build a triangular pen for his pet rabbit.
He has three lengths of boards already cut that measure 7 feet, 8 feet, and 16 feet.
Explain why José cannot construct a triangular pen with sides of 7, 8, and 16 feet.
Code:
                       *
          *           . \
         / .         .   \ 8 
       7/   .       .     \
       /     .     .       \
      *-------*---*---------*
      : - - -  16 - - - - - :

The two smaller sides are too short.

They will not meet to form a triangle


Do a search on "triangle inequality".
.
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Old 11-16-2008, 11:41 PM
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Default yes.........

Quote:
Originally Posted by Soroban View Post
Hello, magentarita!

Did you make a sketch?

Code:
                       *
          *           . \
         / .         .   \ 8 
       7/   .       .     \
       /     .     .       \
      *-------*---*---------*
      : - - -  16 - - - - - :
The two smaller sides are too short.

They will not meet to form a triangle

Do a search on "triangle inequality".
.
I made a sketch but could not figure out the answer.
I really love your replies.
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