# Geometry.

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prove that the distance between any two points inside triangle abc is not greater than half the perimeter of triangle abc

my teacher said to try doing this proof by contradiction. can someone please help??

• Geometry. -

the distance must be less than the longest side

The longest side is less than the sum of the other two sides

The perimeter is the sum of the longest side and the other two sides.

That should help.

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