Mathematics - Properties of Triangle Question with Solution | TestHub
MathematicsProperties of Triangler1,r–R formula basedMedium2 minQB
MathematicsMediumsingle choice
In triangle ABC, sin(A/2)=6/5 and II_i=9, where I is the incentre and I_1,I_2,I_3 are the excentres, find the circumradius R.
Options:
Answer:
C
Solution:
II_i=4R sin(A_i/2) for the corresponding angle A_i, so 9=4R(6/5) and R=45/24=15/8. The identity II_1=4R sin(A/2), and cyclic equivalents, follows from in/excenter geometry.
Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:r1,r–R formula based
⏱ 2mℹ️ Source: QB
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