if 3a=4b=6c and a+b+c=27√29 , then√a2+b2+c2

a)3√29

b)81

c)87

d)9/2√29

Given 3A = 4B 
MEANS 3/4 = B/A or 3:4 = B :A ------------------1 
 

NOW 4B = 6C 
means 4/6 = C/B OR 4 : 6 = C : B - OR 2 : 3 is C : B-------------------------- ----2 
 

AND 3A = 6C 
MEANS 3/6 = C/A or 3:6 = C : A 
hence,

A : B : C = 4 : 3 : 2

A=4x, B=3x, C=2x

Given,

a+b+c=27√29 

4x+3x+2x=27√29

9x=27√29

x=3√29

We have to find,

√a2+b2+c2  

  • 17

Correct option is no given because the answer is 27 underroot 29

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