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If p1,p2,p3 are altitudes of a triangle ...

If `p_1,p_2,p_3` are altitudes of a triangle ABC from the vertices A,B,C respectively and `Delta` is the area of the triangle and s is semi perimeter of the triangle.
If `1/p_1+1/p_2+1/p_3=1/2,` then the least value of `p_1p_2p_3` is

A

8

B

27

C

125

D

216

Text Solution

Verified by Experts

The correct Answer is:
D
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PATHFINDER-SOLUTION OF TRIANGLE AND HEIGHT AND DISTANCE-QUESTION BANK
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  2. When any two sides and one of the opposite acute are given, under cert...

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  6. Match List - I with List-II

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  11. If any DeltaABC, if sinA,sinB,sinC are in A.P. and the maximum value ...

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  15. If x,y,z are the perpendiculars from the vertices of a triangle ABC on...

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  17. In triangle ABC, D is the mid point of side BC. If AD is perpendicular...

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  18. For a DeltaABc, it is given that cosA +cosB+cosC=3/2. prove that the D...

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  19. If any DeltaABC, show that : (sin^2A+sinA+1)/sinAge3

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