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Question: Answered & Verified by Expert
Consider four triangles having sides $(5,12,9),(5,12,11),(5,12,13)$ and $(5,12,15)$. Among these, the triangle having maximum areahas sides
MathematicsStraight LinesKVPYKVPY 2017 (19 Nov SA)
Options:
  • A $(5,12,9)$
  • B $(5,12,11)$
  • C $(5,12,13)$
  • D $(5,12,15)$
Solution:
1477 Upvotes Verified Answer
The correct answer is: $(5,12,13)$
Clearly area of $\Delta$ having sides $(5,12,13)$
is greatest (use $\Delta=\sqrt{s(s-a)(s-b)(s-c)}$

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