Olympiad Maths - 34 වැඩ්ඩන්ට I Combined Maths I Ajantha Dissanayake

[@THUKR]

A simpler, faster, and more elegant form of the answer.
bc*a^2 + ac*b^2 + ab*c^2 = (6 + 2 + 3)*10^4 ------------ eq1
(abc)^2 = (1*2*3)*10^6 --------------------- eq2
eq1/sqrt(eq2): (a + b + c)*abc/abc = +/- 11 * 10^4/sqrt(6)*10^3 = +/- 110/sqrt(6)

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[@bacreations1940]

(abc)^2= 6* 10^6
abc=(6)^1/2 * (10)^-3
a+b+c= [a+b+c/abc] *abc
= [ (1/bc)+(1/ac)+(1/ab) ]*abc
= (11/600) * (6)^1/2 * 10^-3
=.......

[@Wishal_NCS]

a+b+c=45.31625

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meka a,b,c, valin haduvama lesiyen uththare eno

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[@praveenhansaja9779]

a = 30 / 6^1/2
b = 10 / 6^1/2
c = 10 * 6^1/2
a + b + c = 110 / 6^1/2
110 / 6^1/2 = [55 * (2)^1/2] / (3)^1/2

[@IrushanVishwapethum]

ab=100
bc=200
ac=300
ab/bc =100/200
a/c=1/2
3 weni sameekrnaya c wargayakin bedu wita ;
a/c = 300/ c wargaya
a/c = 1/2 nisa
c wargaya = 600
c= muula 600 kiyl argena ithuru sameekara tikt adesha krnm utthare enw