Mathematics - Properties of Triangle Question with Solution | TestHub

MathematicsProperties of TriangleLength of angle bisector and median / Dist. between sp. PointsMedium2 minQB

MathematicsMediumsingle choice

A circle of diameter 2x has its center on side BC of triangle ABC and touches sides AB and AC. Find x.

Answer:

Solution:

Its center D has equal perpendicular distances x to AB and AC. Splitting ABC into ABD and ADC gives $Δ$ =x(AB+AC)/2=x(b+c)/2, so x=2 $Δ$ /(b+c).

Stream:JEESubject:MathematicsTopic:Properties of TriangleSubtopic:Length of angle bisector and median / Dist. between sp. Points

⏱ 2mℹ️ Source: QB

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