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1)

 p1,p2,p3  arte the altitudes  of a triangle ABC drawn from the vertices A,B and C respecively . If   is the area  of the triangle and 2s is the sum of its sides a,b and c , then 1p1+1p21p3=


A) sa

B) sb

C) sc

D) s

Answer:

Option D

Explanation:

Given

 BC=a,  AC-b

AB=c, AD=P1

BE= p2 , CF= p3

 In ABC

       sinB=p1c1p1=1csinB

 Similarly  ,    1p2=1asinC

and      1p1=1bsinA

 97202144_m23.PNG

 

     1p1+1p21p3=1csinB+1asinC1bsinA

 =a2+b2c2=12(a+bc)=2(sc)2=(sc)

  1p1+1p21p3s