Mathematics - Properties of Triangle Question with Solution | TestHub
MathematicsProperties of Triangler1,r–R formula basedMedium2 minQB
MathematicsMediumsingle choice
In triangle ABC, A=/3 and inradius is 6 units. A circle inside A touches both sides AB,AC and the incircle externally. Find its radius.
Options:
Answer:
C
Solution:
Centers on the bisector are at distances 6 csc30° and ρ csc30° from A. Tangency gives (6-ρ)csc30°=6+ρ, i.e. 2(6-ρ)=6+ρ and ρ=2.
Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:r1,r–R formula based
⏱ 2mℹ️ Source: QB
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