David and Matthew are standing 6 feet apart. David starts walking on a diagonal towards Matthew and walks 11 feet. Matthew also begins to walk on a diagonal towards David and walks 15 feet. Will David and Matthew's paths form a triangle? Use the Triangle Inequality

Theorem to prove whether these lengths will form a triangle.

and form a triangle.

With walking these distances, David and Matthew's paths

Proof

the

-

:: False

:: True

.. 15

A>

.: 17

:: 15

:: 11

:: 6

:: will not meet

:: will meet