Among the following a true statement in ΔABC is
Among the following a true statement in ΔABC is
A) \(\overline{AB}\) + \(\overline{BC}\) < \(\overline{AC}\)
B) \(\overline{BC}\) + \(\overline{CA}\) < \(\overline{AB}\)
C) \(\overline{AC}\) + \(\overline{AB}\) > \(\overline{BC}\)
D) \(\overline{AB}\) + \(\overline{BC}\) = \(\overline{AC}\)
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Correct option is (C) \(\overline{AC}+\overline{AB}>\overline{BC}\)
Since, sum of two sides in a triangle is always greater than the third side.
\(\therefore\) In \(\triangle ABC\)
\(\overline{AB}+\overline{BC}>\overline{AC},\)
\(\overline{AC}+\overline{BC}>\overline{AB}\) and
\(\overline{AB}+\overline{AC}>\overline{BC}\)
Hence, among all given options, only option (C) is correct.
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