Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of Triangler1,r–R formula basedMedium2 minQB

MathematicsMediumsingle choice

In triangle ABC, I is the incenter. Find IA·IB·IC.

Answer:

Solution:

AI=r/sin(A/2), etc. Also sin(A/2)sin(B/2)sin(C/2)=r/(4R), hence IA·IB·IC= $r^{3}$ /(r/(4R))= $4 R r^{2}$ .

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:r1,r–R formula based

⏱ 2mℹ️ Source: QB

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