Mathematics - Properties of Triangle Question with Solution | TestHub
MathematicsProperties of Triangler1,r–R formula basedMedium2 minQB
MathematicsMediumsingle choice
An incircle of radius 4 touches BC, CA, AB at D,E,F. BD, CE, AF are consecutive positive integers. Find the largest side.
Options:
Answer:
C
Solution:
Put BD=n, CE=n+1, AF=n+2. Then s=3n+3 and =n(n+2)/3. With r=4, n(n+2)=48, hence n=6. The sides are 13,14,15; the largest is 15.
Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:r1,r–R formula based
⏱ 2mℹ️ Source: QB
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