Mathematics - Properties of Triangle Question with Solution | TestHub
MathematicsProperties of TriangleGeneral (basic formula based)Medium2 minQB
MathematicsMediumsingle choice
If b +a =3c/2, find the minimum of (a+c)/(2c-a)+(b+c)/(2c-b).
Options:
Answer:
B
Solution:
From =(1+cos A)/2 and b cos A+a cos B=c, the given equation is (a+b+c)/2=3c/2, hence a+b=2c. The target becomes (a+c)/b+(b+c)/a = a/b+b/a+c(1/a+1/b) = (3/2)(a/b+b/a)+1≥4, equality a=b=c.
Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:General (basic formula based)
⏱ 2mℹ️ Source: QB
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