SOLUTION: explain why the lengths 5cm, 10 cm and 20 cm could not be used to make a triangle.

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Question 453347: explain why the lengths 5cm, 10 cm and 20 cm could not be used to make a triangle.
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Imagine the triangle is made of sticks with hinges
at the corners.
Lay the 20 cm side flat on a table. The other 2 sides
must make an arch over the 20 cm side. But that is
impossible, because if you add 5 cm and 10 cm,
that is less than 20 cm, and together they are unable to meet
over the 20 cm side.

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