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Mathematics
5. Congruence of Triangles and Inequalities in a Triangle
Home · Class 9 · Mathematics · Ref. Book · 5. Congruence of Triangles and Inequalities in a Triangle
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Q12 of 97 Page 195

O is any point in the interior of ∆ABC. Then, which of the following is true?

From the given question, we have

In ∆OAB, ∆OBC and ∆OCA we have:


OA + OB > AB


OB + OC > BC


And, OC + OA > AC


Adding all these, we get:


2 (OA + OB + OC) > (AB + BC + CA)


(OA + OB + OC >


∴ Option (C) is correct

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Questions · 97
5. Congruence of Triangles and Inequalities in a Triangle
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