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JEE MATHEMATICS MCQ: PROPERTIES OF TRIANGLES

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If PP is a point on the altitude ADA D of the β–³ABC\triangle A B C such that ∠CDP=B3\angle C D P=\frac{B}{3}, then APA P is equal to
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Correct option: C
2csin⁑B32 c \sin \frac{B}{3}
Option C (2csin⁑B32 c \sin \frac{B}{3}) is correct because by applying the sine rule in triangle ABP, AP can be expressed as 2csin⁑B32 c \sin \frac{B}{3}.

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