Mathematics - Properties of Triangle Question with Solution | TestHub
MathematicsProperties of TriangleGeneral (basic formula based)Medium2 minQB
MathematicsMediumsingle choice
If a,b,c are sides of a triangle, find the minimum of 2a/(b+c-a)+2b/(c+a-b)+2c/(a+b-c).
Options:
Answer:
B
Solution:
Put s=(a+b+c)/2. The sum is s /(s-a)-3 ≥ 9-3=6, by Cauchy, with equality when a=b=c.
Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:General (basic formula based)
⏱ 2mℹ️ Source: QB
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