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Math Help - Triangular Pen

  1. #1
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    Triangular Pen

    JosÚ 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 JosÚ cannot construct a pen in the shape of a triangle with sides of 7 feet, 8 feet, and 16 feet.

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  2. #2
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    Hello, magentarita!

    Did you make a sketch?


    JosÚ 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 JosÚ 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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  3. #3
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    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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