Mathematics - Properties of Triangle Question with Solution | TestHub

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

MathematicsMediumsingle choice

P lies on the altitude AD of triangle ABC, with D on BC, and $∠ D BP$ =B/3. Find AP.

Answer:

Solution:

Since $∠ A B D$ =B, $∠ A BP$ =2B/3. In triangle ABP, $∠ A PB$ =90°+B/3, so by sine rule AP=c sin(2B/3)/cos(B/3)=2c sin(B/3).

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

⏱ 2mℹ️ Source: QB

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